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Título : A Basis Theory Primer : Expanded Edition Tipo de documento: documento electrónico Autores: Christopher Heil ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2011 Colección: Applied and Numerical Harmonic Analysis Número de páginas: XXV, 537 p. 42 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4687-5 Idioma : Inglés (eng) Palabras clave: Mathematics Harmonic analysis Fourier Functional Applied mathematics Engineering Abstract Analysis Appl.Mathematics/Computational Methods of Applications Signal, Image and Speech Processing Clasificación: 51 Matemáticas Resumen: The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. * Part I develops the functional analysis that underlies most of the concepts presented in the later parts of the text. * Part II presents the abstract theory of bases and frames in Banach and Hilbert spaces, including the classical topics of convergence, Schauder bases, biorthogonal systems, and unconditional bases, followed by the more recent topics of Riesz bases and frames in Hilbert spaces. * Part III relates bases and frames to applied harmonic analysis, including sampling theory, Gabor analysis, and wavelet theory. * Part IV deals with classical harmonic analysis and Fourier series, emphasizing the role played by bases, which is a different viewpoint from that taken in most discussions of Fourier series. Key features: * Self-contained presentation with clear proofs accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications. * Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses; hints for selected exercises are included at the end of the book. * A separate solutions manual is available for instructors upon request at: www.birkhauser-science.com/978-0-8176-4686-8/. * No other text develops the ties between classical basis theory and its modern uses in applied harmonic analysis. A Basis Theory Primer is suitable for independent study or as the basis for a graduate-level course. Instructors have several options for building a course around the text depending on the level and background of their students Nota de contenido: ANHA Series Preface -- Preface -- General Notation -- Part I. A Primer on Functional Analysis -- Banach Spaces and Operator Theory -- Functional Analysis -- Part II. Bases and Frames -- Unconditional Convergence of Series in Banach and Hilbert Spaces -- Bases in Banach Spaces -- Biorthogonality, Minimality, and More About Bases -- Unconditional Bases in Banach Spaces -- Bessel Sequences and Bases in Hilbert Spaces -- Frames in Hilbert Spaces -- Part III. Bases and Frames in Applied Harmonic Analysis -- The Fourier Transform on the Real Line -- Sampling, Weighted Exponentials, and Translations -- Gabor Bases and Frames -- Wavelet Bases and Frames -- Part IV. Fourier Series -- Fourier Series -- Basic Properties of Fourier Series -- Part V. Appendices -- Lebesgue Measure and Integration -- Compact and Hilbert–Schmidt Operators -- Hints for Exercises -- Index of Symbols -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4687-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33088 A Basis Theory Primer : Expanded Edition [documento electrónico] / Christopher Heil ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2011 . - XXV, 537 p. 42 illus : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-4687-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Harmonic analysis Fourier Functional Applied mathematics Engineering Abstract Analysis Appl.Mathematics/Computational Methods of Applications Signal, Image and Speech Processing Clasificación: 51 Matemáticas Resumen: The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. * Part I develops the functional analysis that underlies most of the concepts presented in the later parts of the text. * Part II presents the abstract theory of bases and frames in Banach and Hilbert spaces, including the classical topics of convergence, Schauder bases, biorthogonal systems, and unconditional bases, followed by the more recent topics of Riesz bases and frames in Hilbert spaces. * Part III relates bases and frames to applied harmonic analysis, including sampling theory, Gabor analysis, and wavelet theory. * Part IV deals with classical harmonic analysis and Fourier series, emphasizing the role played by bases, which is a different viewpoint from that taken in most discussions of Fourier series. Key features: * Self-contained presentation with clear proofs accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications. * Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses; hints for selected exercises are included at the end of the book. * A separate solutions manual is available for instructors upon request at: www.birkhauser-science.com/978-0-8176-4686-8/. * No other text develops the ties between classical basis theory and its modern uses in applied harmonic analysis. A Basis Theory Primer is suitable for independent study or as the basis for a graduate-level course. Instructors have several options for building a course around the text depending on the level and background of their students Nota de contenido: ANHA Series Preface -- Preface -- General Notation -- Part I. A Primer on Functional Analysis -- Banach Spaces and Operator Theory -- Functional Analysis -- Part II. Bases and Frames -- Unconditional Convergence of Series in Banach and Hilbert Spaces -- Bases in Banach Spaces -- Biorthogonality, Minimality, and More About Bases -- Unconditional Bases in Banach Spaces -- Bessel Sequences and Bases in Hilbert Spaces -- Frames in Hilbert Spaces -- Part III. Bases and Frames in Applied Harmonic Analysis -- The Fourier Transform on the Real Line -- Sampling, Weighted Exponentials, and Translations -- Gabor Bases and Frames -- Wavelet Bases and Frames -- Part IV. Fourier Series -- Fourier Series -- Basic Properties of Fourier Series -- Part V. Appendices -- Lebesgue Measure and Integration -- Compact and Hilbert–Schmidt Operators -- Hints for Exercises -- Index of Symbols -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4687-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33088 Ejemplares
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Título : Duration and Bandwidth Limiting : Prolate Functions, Sampling, and Applications Tipo de documento: documento electrónico Autores: Jeffrey A. Hogan ; SpringerLink (Online service) ; Joseph D. Lakey Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Colección: Applied and Numerical Harmonic Analysis Número de páginas: XVII, 258 p. 14 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8307-8 Idioma : Inglés (eng) Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Electrical engineering Analysis Communications Engineering, Networks Abstract Applications of Clasificación: 51 Matemáticas Resumen: Channel modeling and analysis of multiband signals are becoming increasingly important in the field of communications, and the study of time and band limiting is a crucial component of these processes. This concise but comprehensive monograph is the first to be devoted specifically to this study, providing a thorough investigation of its theory and applications. Via state-of-the-art numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine. Duration and Bandwidth Limiting begins with a discussion of the Bell Labs theory, both discrete and continuous, and goes on to address various related numerical and analytical techniques. It introduces a number of problems relevant to finite signal processing, and finally builds a theoretical framework for the sampling of time- and band-limited signals. Throughout, the book contains extensive supplemental material, giving greater depth on these subtopics to those who desire it. With an unprecedented breadth of coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly convenient resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing Nota de contenido: Preface -- Chapter 1: The Bell Labs Theory -- Chapter 2: Numerical Aspects of Time- and Bandlimiting -- Chapter 3: Thomson's Multitaper Method and Applications to Channel Modeling -- Chapter 4: Time- and Bandlimiting of Multiband Signals -- Chapter 5: Sampling of Bandlimited and Multiband Signals -- Chapter 6: Time-localized Sampling Approximations -- Appendix: Notation and Mathematical Prerequisites -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8307-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32691 Duration and Bandwidth Limiting : Prolate Functions, Sampling, and Applications [documento electrónico] / Jeffrey A. Hogan ; SpringerLink (Online service) ; Joseph D. Lakey . - Boston : Birkhäuser Boston, 2012 . - XVII, 258 p. 14 illus : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-8307-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Electrical engineering Analysis Communications Engineering, Networks Abstract Applications of Clasificación: 51 Matemáticas Resumen: Channel modeling and analysis of multiband signals are becoming increasingly important in the field of communications, and the study of time and band limiting is a crucial component of these processes. This concise but comprehensive monograph is the first to be devoted specifically to this study, providing a thorough investigation of its theory and applications. Via state-of-the-art numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine. Duration and Bandwidth Limiting begins with a discussion of the Bell Labs theory, both discrete and continuous, and goes on to address various related numerical and analytical techniques. It introduces a number of problems relevant to finite signal processing, and finally builds a theoretical framework for the sampling of time- and band-limited signals. Throughout, the book contains extensive supplemental material, giving greater depth on these subtopics to those who desire it. With an unprecedented breadth of coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly convenient resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing Nota de contenido: Preface -- Chapter 1: The Bell Labs Theory -- Chapter 2: Numerical Aspects of Time- and Bandlimiting -- Chapter 3: Thomson's Multitaper Method and Applications to Channel Modeling -- Chapter 4: Time- and Bandlimiting of Multiband Signals -- Chapter 5: Sampling of Bandlimited and Multiband Signals -- Chapter 6: Time-localized Sampling Approximations -- Appendix: Notation and Mathematical Prerequisites -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8307-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32691 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Excursions in Harmonic Analysis, Volume 1 / SpringerLink (Online service) ; Travis D. Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou (2013)
Título : Excursions in Harmonic Analysis, Volume 1 : The February Fourier Talks at the Norbert Wiener Center Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Travis D. Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Applied and Numerical Harmonic Analysis Número de páginas: XVIII, 488 p. 135 illus., 88 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-8176-8376-4 Idioma : Inglés (eng) Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Biomathematics Analysis Signal, Image and Speech Processing Abstract Mathematical Computational Biology Appl.Mathematics/Computational Methods of Applications Clasificación: 51 Matemáticas Resumen: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics Nota de contenido: Part 1 Sampling Theory -- Unions of Subspaces for Data Modeling and Subspace Clustering -- Fusion frames and Unbiased Basic Sequences -- Sampling in Spaces of Bandlimited Functions on Commutative Spaces -- Smooth Interpolation of Data by Efficient Algorithms -- An Overview of Time and Multiband Limiting -- A Panorama of Sampling Theory -- Part II Remote Sensing -- Multistatic Radar Waveforms for Imaging of Moving Targets -- Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer -- An Introduction to Hyperspectral Image Data Modeling -- Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers -- Theory of Passive Synthetic Aperture Imaging -- Part III Mathematics of Data Processing -- Golay-Rudin-Shapiro Polynomials and Phased Arrays -- Multi-Resolution Geometric Analysis for Data in High Dimensions -- On the Fourth-Order Structure Function of a Fractal -- Harmonic Analysis of Databases and Matrices -- The Structure of Sidelobe-Preserving Operator Groups -- Zeros of some Self-Reciprocal Polynomials -- Part IV Applications of Data Processing -- Generalized Mutual Interdependence Analysis of Noisy Channels -- Approximation Methods for the Recovery of Shapes and Images from Gradients -- FM Perturbations due to Near-Identity Linear Systems -- Eddy Current Sensor Signal Processing for Stall Detection -- State Dependent Channels: Strong Converse and Bounds on Reliability Function En línea: http://dx.doi.org/10.1007/978-0-8176-8376-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32172 Excursions in Harmonic Analysis, Volume 1 : The February Fourier Talks at the Norbert Wiener Center [documento electrónico] / SpringerLink (Online service) ; Travis D. Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou . - Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013 . - XVIII, 488 p. 135 illus., 88 illus. in color : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-8376-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Biomathematics Analysis Signal, Image and Speech Processing Abstract Mathematical Computational Biology Appl.Mathematics/Computational Methods of Applications Clasificación: 51 Matemáticas Resumen: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics Nota de contenido: Part 1 Sampling Theory -- Unions of Subspaces for Data Modeling and Subspace Clustering -- Fusion frames and Unbiased Basic Sequences -- Sampling in Spaces of Bandlimited Functions on Commutative Spaces -- Smooth Interpolation of Data by Efficient Algorithms -- An Overview of Time and Multiband Limiting -- A Panorama of Sampling Theory -- Part II Remote Sensing -- Multistatic Radar Waveforms for Imaging of Moving Targets -- Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer -- An Introduction to Hyperspectral Image Data Modeling -- Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers -- Theory of Passive Synthetic Aperture Imaging -- Part III Mathematics of Data Processing -- Golay-Rudin-Shapiro Polynomials and Phased Arrays -- Multi-Resolution Geometric Analysis for Data in High Dimensions -- On the Fourth-Order Structure Function of a Fractal -- Harmonic Analysis of Databases and Matrices -- The Structure of Sidelobe-Preserving Operator Groups -- Zeros of some Self-Reciprocal Polynomials -- Part IV Applications of Data Processing -- Generalized Mutual Interdependence Analysis of Noisy Channels -- Approximation Methods for the Recovery of Shapes and Images from Gradients -- FM Perturbations due to Near-Identity Linear Systems -- Eddy Current Sensor Signal Processing for Stall Detection -- State Dependent Channels: Strong Converse and Bounds on Reliability Function En línea: http://dx.doi.org/10.1007/978-0-8176-8376-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32172 Ejemplares
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Título : Excursions in Harmonic Analysis, Volume 2 : The February Fourier Talks at the Norbert Wiener Center Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Travis D. Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Applied and Numerical Harmonic Analysis Número de páginas: XIX, 456 p. 56 illus., 21 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-8176-8379-5 Idioma : Inglés (eng) Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Biomathematics Analysis Signal, Image and Speech Processing Abstract Mathematical Computational Biology Appl.Mathematics/Computational Methods of Applications Clasificación: 51 Matemáticas Resumen: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics Nota de contenido: Part V Measure Theory -- Absolute Continuity and Singularity of Measures Without Measure Theory -- Visible and Invisible Cantor Sets -- Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density -- Positive Operator-Valued Measures: A General Setting for Frames -- Part VI Filtering -- Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces -- On the Group-Theoretic Structure of Lifted Filter Banks -- Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces -- On the Convergence of Iterative Filtering Empirical Mode Decomposition -- Wavelet Transforms by Nearest Neighbor Lifting -- Part VII Operator Theory -- On the Heat Kernel of a Left Invariant Elliptic Operator -- Mixed-Norm Estimates for the k-Plane Transform -- Representation of Linear Operators by Gabor Multipliers -- Extensions of Berezin-Lieb Inequalities -- Bilinear Calderon-Zygmund Operators -- Weighted Inequalities and Dyadic Harmonic Analysis -- Part VIII Biomathematics -- Enhancement and Recovery in Atomic Force Micosopy Images -- Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group -- Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular -- Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE) -- Fourier Blues: Structural Coloration of Biological Tissues -- A Harmonic Analysis View On Neuroscience Imaging En línea: http://dx.doi.org/10.1007/978-0-8176-8379-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32173 Excursions in Harmonic Analysis, Volume 2 : The February Fourier Talks at the Norbert Wiener Center [documento electrónico] / SpringerLink (Online service) ; Travis D. Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou . - Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013 . - XIX, 456 p. 56 illus., 21 illus. in color : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-8379-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Harmonic analysis Fourier Applied mathematics Engineering Biomathematics Analysis Signal, Image and Speech Processing Abstract Mathematical Computational Biology Appl.Mathematics/Computational Methods of Applications Clasificación: 51 Matemáticas Resumen: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics Nota de contenido: Part V Measure Theory -- Absolute Continuity and Singularity of Measures Without Measure Theory -- Visible and Invisible Cantor Sets -- Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density -- Positive Operator-Valued Measures: A General Setting for Frames -- Part VI Filtering -- Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces -- On the Group-Theoretic Structure of Lifted Filter Banks -- Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces -- On the Convergence of Iterative Filtering Empirical Mode Decomposition -- Wavelet Transforms by Nearest Neighbor Lifting -- Part VII Operator Theory -- On the Heat Kernel of a Left Invariant Elliptic Operator -- Mixed-Norm Estimates for the k-Plane Transform -- Representation of Linear Operators by Gabor Multipliers -- Extensions of Berezin-Lieb Inequalities -- Bilinear Calderon-Zygmund Operators -- Weighted Inequalities and Dyadic Harmonic Analysis -- Part VIII Biomathematics -- Enhancement and Recovery in Atomic Force Micosopy Images -- Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group -- Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular -- Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE) -- Fourier Blues: Structural Coloration of Biological Tissues -- A Harmonic Analysis View On Neuroscience Imaging En línea: http://dx.doi.org/10.1007/978-0-8176-8379-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32173 Ejemplares
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Título : Finite Frames : Theory and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Peter G. Casazza ; Gitta Kutyniok Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Applied and Numerical Harmonic Analysis Número de páginas: XVI, 485 p. 35 illus., 20 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-8176-8373-3 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Approximation theory Fourier analysis Operator Applied mathematics Engineering Approximations and Expansions Signal, Image Speech Processing Analysis Imaging, Vision, Pattern Recognition Graphics Theory Applications of Clasificación: 51 Matemáticas Resumen: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book Nota de contenido: Introduction -- Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames -- Group Frames -- Gabor Framses in Finite Dimensions -- Frames as Codes -- Quantization and Finite Frames -- Finite Frames for Sparse Signal Processing -- Finite Frames and Filter Banks -- Finite Frame theory in Pure Mathematics -- Probabilitstic Frames -- Fusion Frames En línea: http://dx.doi.org/10.1007/978-0-8176-8373-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32171 Finite Frames : Theory and Applications [documento electrónico] / SpringerLink (Online service) ; Peter G. Casazza ; Gitta Kutyniok . - Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013 . - XVI, 485 p. 35 illus., 20 illus. in color : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-8373-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Approximation theory Fourier analysis Operator Applied mathematics Engineering Approximations and Expansions Signal, Image Speech Processing Analysis Imaging, Vision, Pattern Recognition Graphics Theory Applications of Clasificación: 51 Matemáticas Resumen: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book Nota de contenido: Introduction -- Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames -- Group Frames -- Gabor Framses in Finite Dimensions -- Frames as Codes -- Quantization and Finite Frames -- Finite Frames for Sparse Signal Processing -- Finite Frames and Filter Banks -- Finite Frame theory in Pure Mathematics -- Probabilitstic Frames -- Fusion Frames En línea: http://dx.doi.org/10.1007/978-0-8176-8373-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32171 Ejemplares
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