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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.

Hypercomplex Analysis

2009-04-21 Mathematics
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Release : 2009-04-21
Genre : Mathematics
Kind : eBook
Book Rating : 930/5 ( reviews)

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Book Synopsis Hypercomplex Analysis by : Irene Sabadini

Download or read book Hypercomplex Analysis written by Irene Sabadini. This book was released on 2009-04-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Trends in Hypercomplex Analysis

2016-11-21 Mathematics
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Release : 2016-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 293/5 ( reviews)

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Book Synopsis Modern Trends in Hypercomplex Analysis by : Swanhild Bernstein

Download or read book Modern Trends in Hypercomplex Analysis written by Swanhild Bernstein. This book was released on 2016-11-21. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.

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.

Entire Slice Regular Functions

2016-12-08 Mathematics
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Release : 2016-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 659/5 ( reviews)

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Book Synopsis Entire Slice Regular Functions by : Fabrizio Colombo

Download or read book Entire Slice Regular Functions written by Fabrizio Colombo. This book was released on 2016-12-08. Available in PDF, EPUB and Kindle. Book excerpt: This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.

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