Interpolation And Sampling In Spaces Of Analytic Functions


Interpolation And Sampling In Spaces Of Analytic Functions
Author: Kristian Seip
Publisher: American Mathematical Soc.
ISBN: 0821835548
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Interpolation And Sampling In Spaces Of Analytic Functions

eBook File: Interpolation-and-sampling-in-spaces-of-analytic-functions.PDF Book by Kristian Seip, Interpolation And Sampling In Spaces Of Analytic Functions Books available in PDF, EPUB, Mobi Format. Download Interpolation And Sampling In Spaces Of Analytic Functions books, Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an


Interpolation and Sampling in Spaces of Analytic Functions
Language: en
Pages: 139
Authors: Kristian Seip
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.
Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an
Extended Abstracts Fall 2019
Language: en
Pages:
Authors: Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà
Categories: Mathematics
Type: BOOK - Published: 2021-07-22 - Publisher: Birkhäuser
This book collects the abstracts of mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019. The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their applications to spectral theory, Gabor analysis and random analytic functions. A special feature is the authors' application of ideas, from one of these topics to solve problems from others. The book will be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their application, but also for young people starting their research in these areas.
Pick Interpolation and Hilbert Function Spaces
Language: en
Pages: 308
Authors: Jim Agler, John Edward McCarthy
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $Hinfty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $Hinfty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider theinterpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem,and the hereditary functional calculus.
Potential Theory in Matsue
Language: en
Pages: 413
Authors: Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: Advanced Studies in Pure Mathe
This volume collects, in written form, eight plenary lectures and twenty-five selected contributions from invited and contributed lectures delivered at the International Workshop on Potential Theory 2004. The workshop was held at Shimane University, Matsue, Japan, from 23 to 28 August, 2004. The topic of the workshop was Potential Theory and its related fields. There were stimulus talks from classical potential theory to pluri-potential theory and probabilistic potential theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Generalized Analytic Continuation
Language: en
Pages: 149
Authors: William T. Ross, Harold S. Shapiro
Categories: Mathematics
Type: BOOK - Published: - Publisher: American Mathematical Soc.
The book addresses the following questions: (1) When can we say, in some reasonable way, that component functions of a meromorphic function on a disconnected domain, are "continuations" of each other? (2) What role do such "continuations" play in certain aspects of approximation theory and operator theory?
Atti Del ... Congresso Internazionale Dei Matematici
Language: en
Pages:
Authors: William T. Ross, Harold S. Shapiro
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher:
Books about Atti Del ... Congresso Internazionale Dei Matematici
Contributions to Science
Language: en
Pages:
Authors: William T. Ross, Harold S. Shapiro
Categories: Research
Type: BOOK - Published: 2001 - Publisher:
Books about Contributions to Science
Revista Matemática Iberoamericana
Language: en
Pages:
Authors: William T. Ross, Harold S. Shapiro
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher:
Books about Revista Matemática Iberoamericana
The Michigan Mathematical Journal
Language: en
Pages:
Authors: William T. Ross, Harold S. Shapiro
Categories: Electronic journals
Type: BOOK - Published: 1952 - Publisher:
Books about The Michigan Mathematical Journal
Interpolation, Identification, and Sampling
Language: en
Pages: 267
Authors: Jonathan Richard Partington, Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: Oxford University Press
With this text, Jonathan Partington explores the application of mathematical analysis to problems of interpolation and engineering, including systems identification, and signal processing and sampling.