Hypercomplex Analysis: New Perspectives and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hypercomplex Analysis: New Perspectives and Applications write by Swanhild Bernstein. This book was released on 2014-10-10. Hypercomplex Analysis: New Perspectives and Applications available in PDF, EPUB and Kindle. 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.
Modern Trends in Hypercomplex Analysis
Modern Trends in Hypercomplex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Trends in Hypercomplex Analysis write by Swanhild Bernstein. This book was released on 2016-11-21. Modern Trends in Hypercomplex Analysis available in PDF, EPUB and Kindle. 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
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative write by Daniel Alpay. This book was released on 2022-01-01. New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative available in PDF, EPUB and Kindle. 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
Entire Slice Regular Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entire Slice Regular Functions write by Fabrizio Colombo. This book was released on 2016-12-08. Entire Slice Regular Functions available in PDF, EPUB and Kindle. 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.
Regular Functions of a Quaternionic Variable
Regular Functions of a Quaternionic Variable - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regular Functions of a Quaternionic Variable write by Graziano Gentili. This book was released on 2022-09-23. Regular Functions of a Quaternionic Variable available in PDF, EPUB and Kindle. This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications. As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only associative real division algebra with a finite dimension n>2. (Slice) regular functions quickly showed particularly appealing features and developed into a full-fledged theory, while finding applications to outstanding problems from other areas of mathematics. For instance, this class of functions includes polynomials and power series. The nature of the zero sets of regular functions is particularly interesting and strictly linked to an articulate algebraic structure, which allows several types of series expansion and the study of singularities. Integral representation formulas enrich the theory and are fundamental to the construction of a noncommutative functional calculus. Regular functions have a particularly nice differential topology and are useful tools for the construction and classification of quaternionic orthogonal complex structures, where they compensate for the scarcity of conformal maps in dimension four. This second, expanded edition additionally covers a new branch of the theory: the study of regular functions whose domains are not axially symmetric. The volume is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general.
