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

Download Hypercomplex Analysis: New Perspectives and Applications Book 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.


Hypercomplex Analysis: New Perspectives and Applications
Language: en
Pages: 228
Authors: Swanhild Bernstein
Categories: Mathematics
Type: BOOK - Published: 2014-10-10 - Publisher: Springer

GET EBOOK

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 m
Hypercomplex Analysis
Language: en
Pages: 289
Authors: Irene Sabadini
Categories: Mathematics
Type: BOOK - Published: 2009-04-21 - Publisher: Springer Science & Business Media

GET EBOOK

Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research i
Modern Trends in Hypercomplex Analysis
Language: en
Pages: 310
Authors: Swanhild Bernstein
Categories: Mathematics
Type: BOOK - Published: 2016-11-21 - Publisher: Birkhäuser

GET EBOOK

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.
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
Language: en
Pages: 389
Authors: Daniel Alpay
Categories: Mathematics
Type: BOOK - Published: 2022-01-01 - Publisher: Springer Nature

GET EBOOK

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function the
Entire Slice Regular Functions
Language: en
Pages: 121
Authors: Fabrizio Colombo
Categories: Mathematics
Type: BOOK - Published: 2016-12-08 - Publisher: Springer

GET EBOOK

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 nece