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Operator Theory for Complex and Hypercomplex Analysis

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 777/5 ( reviews)

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Book Synopsis Operator Theory for Complex and Hypercomplex Analysis by : Enrique Ramírez de Arellano

Download or read book Operator Theory for Complex and Hypercomplex Analysis written by Enrique Ramírez de Arellano. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

2022-01-01 Mathematics
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Release : 2022-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 737/5 ( reviews)

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Book Synopsis New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative by : Daniel Alpay

Download or read book New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative written by Daniel Alpay. This book was released on 2022-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis and Related Topics

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 985/5 ( reviews)

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Book Synopsis Complex Analysis and Related Topics by : E. Ramirez de Arellano

Download or read book Complex Analysis and Related Topics written by E. Ramirez de Arellano. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Systems, Signal Processing and Hypercomplex Analysis

2019-08-08 Mathematics
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Release : 2019-08-08
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis Linear Systems, Signal Processing and Hypercomplex Analysis by : Daniel Alpay

Download or read book Linear Systems, Signal Processing and Hypercomplex Analysis written by Daniel Alpay. This book was released on 2019-08-08. Available in PDF, EPUB and Kindle. Book excerpt: 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

2014-10-10 Mathematics
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Release : 2014-10-10
Genre : Mathematics
Kind : eBook
Book Rating : 711/5 ( reviews)

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Book Synopsis Hypercomplex Analysis: New Perspectives and Applications by : Swanhild Bernstein

Download or read book Hypercomplex Analysis: New Perspectives and Applications written by Swanhild Bernstein. This book was released on 2014-10-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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