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Autor Struppa, Daniele C |
Documentos disponibles escritos por este autor (5)
Refinar búsquedaAdvances in Hypercomplex Analysis / SpringerLink (Online service) ; Graziano Gentili ; Sabadini, Irene ; Shapiro, Michael ; Sommen, Franciscus ; Struppa, Daniele C (2013)
Título : Advances in Hypercomplex Analysis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Graziano Gentili ; Sabadini, Irene ; Shapiro, Michael ; Sommen, Franciscus ; Struppa, Daniele C Editorial: Milano : Springer Milan Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer INdAM Series, ISSN 2281-518X num. 1 Número de páginas: VIII, 148 p Il.: online resource ISBN/ISSN/DL: 978-88-470-2445-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Mathematics, general Clasificación: 51 Matemáticas Resumen: The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate Nota de contenido: C. Bisi, C. Stoppato: Regular vs. classical Mobius transformations of the quaternionic unit ball -- F. Brackx, H. De Bie, Hennie De Schepper: Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis -- F. Colombo, J.O. Gonzalez-Cervantes, M.E. Luna-Elizarraras, I. Sabadini, M. Shapiro: On two approaches to the Bergman theory for slice regular functions -- C. Della Rocchetta, G. Gentili, G. Sarfatti: A Bloch- Landau Theorem for slice regular functions -- M. Ku, U. Kahler, P. Cerejeiras: Dirichlet-type problems for the iterated Dirac operator on the unit ball in Clifford analysis -- A. Perotti: Fueter regularity and slice regularity: meeting points for two function theories -- D.C. Struppa: A note on analytic functionals on the complex light cone -- M.B. Vajiac: The S-spectrum for some classes of matrices -- F. Vlacci: Regular Composition for SliceRegular Functions of Quaternionic Variable En línea: http://dx.doi.org/10.1007/978-88-470-2445-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32624 Advances in Hypercomplex Analysis [documento electrónico] / SpringerLink (Online service) ; Graziano Gentili ; Sabadini, Irene ; Shapiro, Michael ; Sommen, Franciscus ; Struppa, Daniele C . - Milano : Springer Milan : Imprint: Springer, 2013 . - VIII, 148 p : online resource. - (Springer INdAM Series, ISSN 2281-518X; 1) .
ISBN : 978-88-470-2445-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Mathematics, general Clasificación: 51 Matemáticas Resumen: The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate Nota de contenido: C. Bisi, C. Stoppato: Regular vs. classical Mobius transformations of the quaternionic unit ball -- F. Brackx, H. De Bie, Hennie De Schepper: Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis -- F. Colombo, J.O. Gonzalez-Cervantes, M.E. Luna-Elizarraras, I. Sabadini, M. Shapiro: On two approaches to the Bergman theory for slice regular functions -- C. Della Rocchetta, G. Gentili, G. Sarfatti: A Bloch- Landau Theorem for slice regular functions -- M. Ku, U. Kahler, P. Cerejeiras: Dirichlet-type problems for the iterated Dirac operator on the unit ball in Clifford analysis -- A. Perotti: Fueter regularity and slice regularity: meeting points for two function theories -- D.C. Struppa: A note on analytic functionals on the complex light cone -- M.B. Vajiac: The S-spectrum for some classes of matrices -- F. Vlacci: Regular Composition for SliceRegular Functions of Quaternionic Variable En línea: http://dx.doi.org/10.1007/978-88-470-2445-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32624 Ejemplares
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Título : Harmonic Analysis, Signal Processing, and Complexity : Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C ; David F. Walnut Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Colección: Progress in Mathematics num. 238 Número de páginas: XI, 162 p. 15 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4416-1 Idioma : Inglés (eng) Palabras clave: Mathematics Algorithms Mathematical analysis Analysis (Mathematics) Harmonic Applied mathematics Engineering Abstract Applications of Signal, Image and Speech Processing Algorithm Problem Complexity Clasificación: 51 Matemáticas Resumen: Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing. Contributors: C.A. Berenstein; R.W. Braun; O. Calin; D-C. Chang; G. Dafni; L. Ehrenpreis; G. Kaiser; C.O. Kiselman; P. Krishnaprasad; B.Q. Li; B. Matt; R. Meise; D. Napoletani; R. Poovendran; Y. Qiao; J. Ryan; C. Sadosky; D.C. Struppa; B.A. Taylor; J. Tie; D.F. Walnut; and A. Yger Nota de contenido: Some Novel Aspects of the Cauchy Problem -- Analytic and Algebraic Ideas: How to Profit from Their Complementarity -- On Certain First-Order Partial Differential Equations in C n -- Hermite Operator on the Heisenberg Group -- A Div-Curl Lemma in BMO on a Domain -- Subharmonic Functions on Discrete Structures -- Nearly Hyperbolic Varieties and Phragmén-Lindelöf Conditions -- Sampling and Local Deconvolution -- Orthogonal Projections on Hyperbolic Space -- Eigenwavelets of the Wave Equation -- Security Analysis and Extensions of the PCB Algorithm for Distributed Key Generation -- Quotient Signal Estimation En línea: http://dx.doi.org/10.1007/0-8176-4416-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35174 Harmonic Analysis, Signal Processing, and Complexity : Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein [documento electrónico] / SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C ; David F. Walnut . - Boston, MA : Birkhäuser Boston, 2005 . - XI, 162 p. 15 illus : online resource. - (Progress in Mathematics; 238) .
ISBN : 978-0-8176-4416-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Algorithms Mathematical analysis Analysis (Mathematics) Harmonic Applied mathematics Engineering Abstract Applications of Signal, Image and Speech Processing Algorithm Problem Complexity Clasificación: 51 Matemáticas Resumen: Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing. Contributors: C.A. Berenstein; R.W. Braun; O. Calin; D-C. Chang; G. Dafni; L. Ehrenpreis; G. Kaiser; C.O. Kiselman; P. Krishnaprasad; B.Q. Li; B. Matt; R. Meise; D. Napoletani; R. Poovendran; Y. Qiao; J. Ryan; C. Sadosky; D.C. Struppa; B.A. Taylor; J. Tie; D.F. Walnut; and A. Yger Nota de contenido: Some Novel Aspects of the Cauchy Problem -- Analytic and Algebraic Ideas: How to Profit from Their Complementarity -- On Certain First-Order Partial Differential Equations in C n -- Hermite Operator on the Heisenberg Group -- A Div-Curl Lemma in BMO on a Domain -- Subharmonic Functions on Discrete Structures -- Nearly Hyperbolic Varieties and Phragmén-Lindelöf Conditions -- Sampling and Local Deconvolution -- Orthogonal Projections on Hyperbolic Space -- Eigenwavelets of the Wave Equation -- Security Analysis and Extensions of the PCB Algorithm for Distributed Key Generation -- Quotient Signal Estimation En línea: http://dx.doi.org/10.1007/0-8176-4416-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35174 Ejemplares
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Título : Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions Tipo de documento: documento electrónico Autores: Fabrizio Colombo ; SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C Editorial: Basel : Springer Basel Fecha de publicación: 2011 Colección: Progress in Mathematics, ISSN 0743-1643 num. 289 Número de páginas: VI, 222 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0110-2 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory Analysis a Complex Variable Clasificación: 51 Matemáticas Resumen: This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
Nota de contenido: 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0110-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33264 Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions [documento electrónico] / Fabrizio Colombo ; SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C . - Basel : Springer Basel, 2011 . - VI, 222 p : online resource. - (Progress in Mathematics, ISSN 0743-1643; 289) .
ISBN : 978-3-0348-0110-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory Analysis a Complex Variable Clasificación: 51 Matemáticas Resumen: This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
Nota de contenido: 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0110-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33264 Ejemplares
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Título : Regular Functions of a Quaternionic Variable Tipo de documento: documento electrónico Autores: Graziano Gentili ; SpringerLink (Online service) ; Stoppato, Caterina ; Struppa, Daniele C Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: XIX, 185 p Il.: online resource ISBN/ISSN/DL: 978-3-642-33871-7 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of complex variables Sequences (Mathematics) a Complex Variable Sequences, Series, Summability Analysis Clasificación: 51 Matemáticas Resumen: The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the four-dimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a state-of-the-art survey of the theory and a brief overview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general Nota de contenido: Introduction -- 1.Definitions and Basic Results -- 2.Regular Power Series -- 3.Zeros -- 4.Infinite Products -- 5.Singularities -- 6.Integral Representations -- 7.Maximum Modulus Theorem and Applications -- 8.Spherical Series and Differential -- 9.Fractional Transformations and the Unit Ball -- 10.Generalizations and Applications -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-33871-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32543 Regular Functions of a Quaternionic Variable [documento electrónico] / Graziano Gentili ; SpringerLink (Online service) ; Stoppato, Caterina ; Struppa, Daniele C . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XIX, 185 p : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-3-642-33871-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of complex variables Sequences (Mathematics) a Complex Variable Sequences, Series, Summability Analysis Clasificación: 51 Matemáticas Resumen: The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the four-dimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a state-of-the-art survey of the theory and a brief overview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general Nota de contenido: Introduction -- 1.Definitions and Basic Results -- 2.Regular Power Series -- 3.Zeros -- 4.Infinite Products -- 5.Singularities -- 6.Integral Representations -- 7.Maximum Modulus Theorem and Applications -- 8.Spherical Series and Differential -- 9.Fractional Transformations and the Unit Ball -- 10.Generalizations and Applications -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-33871-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32543 Ejemplares
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Título : The Mathematical Legacy of Leon Ehrenpreis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C Editorial: Milano : Springer Milan Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics, ISSN 2190-5614 num. 16 Número de páginas: X, 394 p Il.: online resource ISBN/ISSN/DL: 978-88-470-1947-8 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Partial differential equations Functions of complex variables Analysis Several Complex Variables and Analytic Spaces Differential Equations Clasificación: 51 Matemáticas Resumen: Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which (Farkas, Kawai, Kuchment, Quinto) were his collaborators Nota de contenido: Analyticity on Curves by M. Agranovsky, L. Zalcman -- On local injectivity for generalized Radon transforms by J. Boman -- Deconvolution for the Pompeiu problem on the Heisenberg group by Der-Chen Chang, W. Eby, E. Grinberg -- Theta Functions Wronskians and Weierstrass Points for Linear Spaces of Meromorphic Functions by H.M. Farkas -- The admissibility theorem for the spatial X-ray transform over the two element field by E.L. Grinberg -- Microlocal analysis of fixed singularities of WKB solutions of a Schroedinger equation by S. Kamimoto, T. Kawai, Y. Takei -- Geometric Properties of Boundary Orbit Accumulation Points by S.G. Krantz.-Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line by V.P. Krishnan, H. Levinson, E. Todd Quinto -- Mathematics of Hybrid Imaging A Brief Review by P. Kuchment -- On Fermat type functional and partial differential equations dedicated to the memory of the late Professor Leon Ehrenpreis by Bao Qin Li -- An analogue of the Galois correspondence for foliations by B. Malgrange -- A Quantitative Version of Caratheodory’s Theorem for Convex Sets by R. Meise, B.A. Taylor -- Geometric Path Integrals. A Language for Multiscale Biology and Systems Robustness by D. Napoletani, E. Petricoin, D.C. Struppa -- Bounded cohomology for solutions of systems of differential equations: applications to extension problems by I. Sabadini, D.C. Struppa -- On two lacunary series and modular curves by A. Sebbar -- PT symmetry and Weyl asymptotics by J. Sjostrand -- Complex Gradient Systems by G. Tomassini, S. Venturini -- Coleff-Herrera currents revisited ? by A. Vidras, A. Yger -- Right inverses for P(D) in spaces of real analytic functions by D. Vogt -- Averaging residue currents and the Stuckrad-Vogel algorithm by A. Yger.- En línea: http://dx.doi.org/10.1007/978-88-470-1947-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33032 The Mathematical Legacy of Leon Ehrenpreis [documento electrónico] / SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C . - Milano : Springer Milan : Imprint: Springer, 2012 . - X, 394 p : online resource. - (Springer Proceedings in Mathematics, ISSN 2190-5614; 16) .
ISBN : 978-88-470-1947-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Partial differential equations Functions of complex variables Analysis Several Complex Variables and Analytic Spaces Differential Equations Clasificación: 51 Matemáticas Resumen: Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which (Farkas, Kawai, Kuchment, Quinto) were his collaborators Nota de contenido: Analyticity on Curves by M. Agranovsky, L. Zalcman -- On local injectivity for generalized Radon transforms by J. Boman -- Deconvolution for the Pompeiu problem on the Heisenberg group by Der-Chen Chang, W. Eby, E. Grinberg -- Theta Functions Wronskians and Weierstrass Points for Linear Spaces of Meromorphic Functions by H.M. Farkas -- The admissibility theorem for the spatial X-ray transform over the two element field by E.L. Grinberg -- Microlocal analysis of fixed singularities of WKB solutions of a Schroedinger equation by S. Kamimoto, T. Kawai, Y. Takei -- Geometric Properties of Boundary Orbit Accumulation Points by S.G. Krantz.-Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line by V.P. Krishnan, H. Levinson, E. Todd Quinto -- Mathematics of Hybrid Imaging A Brief Review by P. Kuchment -- On Fermat type functional and partial differential equations dedicated to the memory of the late Professor Leon Ehrenpreis by Bao Qin Li -- An analogue of the Galois correspondence for foliations by B. Malgrange -- A Quantitative Version of Caratheodory’s Theorem for Convex Sets by R. Meise, B.A. Taylor -- Geometric Path Integrals. A Language for Multiscale Biology and Systems Robustness by D. Napoletani, E. Petricoin, D.C. Struppa -- Bounded cohomology for solutions of systems of differential equations: applications to extension problems by I. Sabadini, D.C. Struppa -- On two lacunary series and modular curves by A. Sebbar -- PT symmetry and Weyl asymptotics by J. Sjostrand -- Complex Gradient Systems by G. Tomassini, S. Venturini -- Coleff-Herrera currents revisited ? by A. Vidras, A. Yger -- Right inverses for P(D) in spaces of real analytic functions by D. Vogt -- Averaging residue currents and the Stuckrad-Vogel algorithm by A. Yger.- En línea: http://dx.doi.org/10.1007/978-88-470-1947-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33032 Ejemplares
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