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Link de la búsquedaThe Mathematical Legacy of Leon Ehrenpreis / SpringerLink (Online service) ; Sabadini, Irene ; Struppa, Daniele C (2012)
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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Título : Singularities of Analytic Spaces Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Tognoli, A Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 66 Número de páginas: 180 p. 24 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-10944-7 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Several Complex Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: F. Lazzeri: Analytic singularities.- V. Poénaru: Lectures of the singularities of C8 mappings.- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces Nota de contenido: F. Lazzeri: Analytic singularities -- V. Poénaru: Lectures of the singularities of C8 mappings -- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces En línea: http://dx.doi.org/10.1007/978-3-642-10944-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33298 Singularities of Analytic Spaces [documento electrónico] / SpringerLink (Online service) ; Tognoli, A . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 180 p. 24 illus : online resource. - (C.I.M.E. Summer Schools; 66) .
ISBN : 978-3-642-10944-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Several Complex Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: F. Lazzeri: Analytic singularities.- V. Poénaru: Lectures of the singularities of C8 mappings.- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces Nota de contenido: F. Lazzeri: Analytic singularities -- V. Poénaru: Lectures of the singularities of C8 mappings -- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces En línea: http://dx.doi.org/10.1007/978-3-642-10944-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33298 Ejemplares
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Título : Applied Pseudoanalytic Function Theory Tipo de documento: documento electrónico Autores: Vladislav V. Kravchenko ; SpringerLink (Online service) Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: Frontiers in Mathematics, ISSN 1660-8046 Número de páginas: XII, 184 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0004-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Operator theory Partial differential equations Physics Differential Equations Mathematical Methods in Theory a Complex Variable Several Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations Nota de contenido: Pseudoanalytic Function Theory and Second-order Elliptic Equations -- Definitions and Results from Bers’ Theory -- Solutions of Second-order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions -- Formal Powers -- Cauchy’s Integral Formula -- Complex Riccati Equation -- Applications to Sturm-Liouville Theory -- A Representation for Solutions of the Sturm-Liouville Equation -- Spectral Problems and Darboux Transformation -- Applications to Real First-order Systems -- Beltrami Fields -- Static Maxwell System in Axially Symmetric Inhomogeneous Media -- Hyperbolic Pseudoanalytic Functions -- Hyperbolic Numbers and Analytic Functions -- Hyperbolic Pseudoanalytic Functions -- Relationship between Hyperbolic Pseudoanalytic Functions and Solutions of the Klein-Gordon Equation -- Bicomplex and Biquaternionic Pseudoanalytic Functions and Applications -- The Dirac Equation -- Complex Second-order Elliptic Equations and Bicomplex Pseudoanalytic Functions -- Multidimensional Second-order Equations En línea: http://dx.doi.org/10.1007/978-3-0346-0004-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33994 Applied Pseudoanalytic Function Theory [documento electrónico] / Vladislav V. Kravchenko ; SpringerLink (Online service) . - Basel : Birkhäuser Basel, 2009 . - XII, 184 p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-0346-0004-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Operator theory Partial differential equations Physics Differential Equations Mathematical Methods in Theory a Complex Variable Several Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations Nota de contenido: Pseudoanalytic Function Theory and Second-order Elliptic Equations -- Definitions and Results from Bers’ Theory -- Solutions of Second-order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions -- Formal Powers -- Cauchy’s Integral Formula -- Complex Riccati Equation -- Applications to Sturm-Liouville Theory -- A Representation for Solutions of the Sturm-Liouville Equation -- Spectral Problems and Darboux Transformation -- Applications to Real First-order Systems -- Beltrami Fields -- Static Maxwell System in Axially Symmetric Inhomogeneous Media -- Hyperbolic Pseudoanalytic Functions -- Hyperbolic Numbers and Analytic Functions -- Hyperbolic Pseudoanalytic Functions -- Relationship between Hyperbolic Pseudoanalytic Functions and Solutions of the Klein-Gordon Equation -- Bicomplex and Biquaternionic Pseudoanalytic Functions and Applications -- The Dirac Equation -- Complex Second-order Elliptic Equations and Bicomplex Pseudoanalytic Functions -- Multidimensional Second-order Equations En línea: http://dx.doi.org/10.1007/978-3-0346-0004-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33994 Ejemplares
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Título : Complex Analysis 2 : Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions Tipo de documento: documento electrónico Autores: Eberhard Freitag ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: Universitext, ISSN 0172-5939 Número de páginas: XIII, 506 p. 51 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-20554-5 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Several Complex Variables and Analytic Spaces a Variable Clasificación: 51 Matemáticas Resumen: The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions Nota de contenido: Chapter I. Riemann Surfaces -- Chapter II. Harmonic Functions on Riemann Surfaces -- Chapter III. Uniformization -- Chapter IV. Compact Riemann Surfaces -- Appendices to Chapter IV -- Chapter V. Analytic Functions of Several Complex Variables -- Chapter V. Analytic Functions of Several Complex Variable -- Chapter VI. Abelian Functions -- Chapter VII. Modular Forms of Several Variables -- Chapter VIII. Appendix: Algebraic Tools -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-20554-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33424 Complex Analysis 2 : Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions [documento electrónico] / Eberhard Freitag ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - XIII, 506 p. 51 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-3-642-20554-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Several Complex Variables and Analytic Spaces a Variable Clasificación: 51 Matemáticas Resumen: The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions Nota de contenido: Chapter I. Riemann Surfaces -- Chapter II. Harmonic Functions on Riemann Surfaces -- Chapter III. Uniformization -- Chapter IV. Compact Riemann Surfaces -- Appendices to Chapter IV -- Chapter V. Analytic Functions of Several Complex Variables -- Chapter V. Analytic Functions of Several Complex Variable -- Chapter VI. Abelian Functions -- Chapter VII. Modular Forms of Several Variables -- Chapter VIII. Appendix: Algebraic Tools -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-20554-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33424 Ejemplares
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Título : Complex Variables with Applications Tipo de documento: documento electrónico Autores: Ponnusamy, S ; SpringerLink (Online service) ; Silverman, Herb Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Número de páginas: XIV, 514 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4513-7 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Applied mathematics Engineering Geometry Number theory a Complex Variable Applications Several Variables and Analytic Spaces Theory Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study Nota de contenido: Algebraic and Geometric Preliminaries -- Topological and Analytic Preliminaries -- Bilinear Transformations and Mappings -- Elementary Functions -- Analytic Functions -- Power Series -- Complex Integration and Cauchy’s Theorem -- Applications of Cauchy’s Theorem -- Laurent Series and the Residue Theorem -- Harmonic Functions -- Conformal Mapping and the Riemann Mapping Theorem -- Entire and Meromorphic Functions -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-8176-4513-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34878 Complex Variables with Applications [documento electrónico] / Ponnusamy, S ; SpringerLink (Online service) ; Silverman, Herb . - Boston, MA : Birkhäuser Boston, 2006 . - XIV, 514 p : online resource.
ISBN : 978-0-8176-4513-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Applied mathematics Engineering Geometry Number theory a Complex Variable Applications Several Variables and Analytic Spaces Theory Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study Nota de contenido: Algebraic and Geometric Preliminaries -- Topological and Analytic Preliminaries -- Bilinear Transformations and Mappings -- Elementary Functions -- Analytic Functions -- Power Series -- Complex Integration and Cauchy’s Theorem -- Applications of Cauchy’s Theorem -- Laurent Series and the Residue Theorem -- Harmonic Functions -- Conformal Mapping and the Riemann Mapping Theorem -- Entire and Meromorphic Functions -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-8176-4513-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34878 Ejemplares
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