Operator Theory For Complex And Hypercomplex Analysis


Operator Theory For Complex And Hypercomplex Analysis
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Operator Theory For Complex And Hypercomplex Analysis


Operator Theory For Complex And Hypercomplex Analysis
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Author : Enrique Ramírez de Arellano
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Operator Theory For Complex And Hypercomplex Analysis written by Enrique Ramírez de Arellano and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman operators, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure operator theory, and is influential and beneficial for important areas of analysis. Particular attention is paid to the fruitful interplay of recent developments of complex and hypercomplex analysis on one side and to operator theory on the other. The majority of papers illustrate this interplay as well as related applications. The papers represent the proceedings of the conference ``Operator Theory for Complex and Hypercomplex Analysis'', held in December 1994 in Mexico City.



Complex Analysis And Related Topics


Complex Analysis And Related Topics
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Author : E. Ramirez de Arellano
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Complex Analysis And Related Topics written by E. Ramirez de Arellano and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, among others.



New Directions In Function Theory From Complex To Hypercomplex To Non Commutative


New Directions In Function Theory From Complex To Hypercomplex To Non Commutative
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Author : Daniel Alpay
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

New Directions In Function Theory From Complex To Hypercomplex To Non Commutative written by Daniel Alpay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.


This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.



Linear Systems Signal Processing And Hypercomplex Analysis


Linear Systems Signal Processing And Hypercomplex Analysis
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Author : Daniel Alpay
language : en
Publisher: Springer
Release Date : 2019-08-08

Linear Systems Signal Processing And Hypercomplex Analysis written by Daniel Alpay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Mathematics categories.


This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.



Hypercomplex Analysis


Hypercomplex Analysis
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Author : Irene Sabadini
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21

Hypercomplex Analysis written by Irene Sabadini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Mathematics categories.


Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis.



Wavelets Multiscale Systems And Hypercomplex Analysis


Wavelets Multiscale Systems And Hypercomplex Analysis
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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-06

Wavelets Multiscale Systems And Hypercomplex Analysis written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-06 with Mathematics categories.


This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.



Hypercomplex Analysis New Perspectives And Applications


Hypercomplex Analysis New Perspectives And Applications
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Author : Swanhild Bernstein
language : en
Publisher: Springer
Release Date : 2014-10-10

Hypercomplex Analysis New Perspectives And Applications written by Swanhild Bernstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.


Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.



Noncommutative Analysis Operator Theory And Applications


Noncommutative Analysis Operator Theory And Applications
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2016-06-30

Noncommutative Analysis Operator Theory And Applications written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.


This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.



Operator Theory And Complex Analysis


Operator Theory And Complex Analysis
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Author : Tsuyoshi Ando
language : en
Publisher: Birkhauser
Release Date : 1992

Operator Theory And Complex Analysis written by Tsuyoshi Ando and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.




Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics


Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics
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Author : Wolfgang Arendt
language : en
Publisher: Birkhäuser
Release Date : 2015-12-10

Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics written by Wolfgang Arendt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Mathematics categories.


This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.