Operator Theory for Complex and Hypercomplex Analysis

Operator Theory for Complex and Hypercomplex Analysis
Author: Enrique Ramírez de Arellano
Publisher: American Mathematical Soc.
Total Pages: 312
Release: 1998
Genre: Mathematics
ISBN: 0821806777

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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 opertors, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure opertor 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 and Complex and Hypercomplex Analysis", held in Decenber 1994 in Mexico City.

Complex Analysis and Related Topics

Complex Analysis and Related Topics
Author: E. Ramirez de Arellano
Publisher: Birkhäuser
Total Pages: 282
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034886985

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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
Author: Daniel Alpay
Publisher: Springer Nature
Total Pages: 389
Release: 2022-01-01
Genre: Mathematics
ISBN: 3030764737

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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
Author: Daniel Alpay
Publisher: Springer
Total Pages: 316
Release: 2019-08-08
Genre: Mathematics
ISBN: 3030184846

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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: New Perspectives and Applications

Hypercomplex Analysis: New Perspectives and Applications
Author: Swanhild Bernstein
Publisher: Springer
Total Pages: 228
Release: 2014-10-10
Genre: Mathematics
ISBN: 3319087711

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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.

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis
Author: Daniel Alpay
Publisher: Springer Nature
Total Pages: 424
Release: 2023-04-11
Genre: Mathematics
ISBN: 3031214609

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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.

Operator Theory and Complex Analysis

Operator Theory and Complex Analysis
Author: T. Ando
Publisher: Birkhäuser
Total Pages: 417
Release: 2012-12-06
Genre: Science
ISBN: 3034886063

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From Complex Analysis to Operator Theory: A Panorama

From Complex Analysis to Operator Theory: A Panorama
Author: Malcolm Brown
Publisher: Springer Nature
Total Pages: 731
Release: 2023-09-21
Genre: Mathematics
ISBN: 3031311396

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This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.

Wavelets, Multiscale Systems and Hypercomplex Analysis

Wavelets, Multiscale Systems and Hypercomplex Analysis
Author: Daniel Alpay
Publisher: Springer Science & Business Media
Total Pages: 197
Release: 2006-08-06
Genre: Mathematics
ISBN: 3764375884

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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.

Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications
Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
Total Pages: 443
Release: 2008-05-27
Genre: Mathematics
ISBN: 3764386843

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This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.