Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis

Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis PDF Author: Lars-erik Persson
Publisher: World Scientific
ISBN: 9814546798
Category : Mathematics
Languages : en
Pages : 207

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Book Description
This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis has been used, for example, in signal processing and image analysis.

Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis

Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis PDF Author: Lars-erik Persson
Publisher: World Scientific
ISBN: 9814546798
Category : Mathematics
Languages : en
Pages : 207

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Book Description
This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis has been used, for example, in signal processing and image analysis.

Analytic Matrix Spaces and Schur Multipliers

Analytic Matrix Spaces and Schur Multipliers PDF Author: Nicolae Popa
Publisher:
ISBN:
Category :
Languages : en
Pages : 162

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Book Description


Matrix Methods in Analysis

Matrix Methods in Analysis PDF Author: Piotr Antosik
Publisher: Springer
ISBN: 3540392661
Category : Mathematics
Languages : en
Pages : 118

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Book Description


Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031214609
Category : Mathematics
Languages : en
Pages : 424

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Book Description
This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

Function Classes on the Unit Disc

Function Classes on the Unit Disc PDF Author: Miroslav Pavlović
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110630850
Category : Mathematics
Languages : en
Pages : 574

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Book Description
This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3030448193
Category : Mathematics
Languages : en
Pages : 578

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Book Description
This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).

Hilbert Spaces of Analytic Functions

Hilbert Spaces of Analytic Functions PDF Author: Javad Mashreghi
Publisher: American Mathematical Soc.
ISBN: 0821870459
Category : Mathematics
Languages : en
Pages : 230

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Book Description


Slice Hyperholomorphic Schur Analysis

Slice Hyperholomorphic Schur Analysis PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319425145
Category : Mathematics
Languages : en
Pages : 365

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Book Description
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis PDF Author: Charles W Swartz
Publisher: World Scientific
ISBN: 9814498718
Category : Mathematics
Languages : en
Pages : 222

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Book Description
These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.

An Advanced Complex Analysis Problem Book

An Advanced Complex Analysis Problem Book PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319160591
Category : Mathematics
Languages : en
Pages : 523

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Book Description
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.