Items related to Hypercomplex Analysis (Trends in Mathematics)
Synopsis
This volume contains some papers written by the participants to the Session “Quaternionic and Cli?ord Analysis” of the 6th ISAAC Conference (held in Ankara, Turkey, in August 2007) and some invited contributions. The contents cover several di?erent aspects of the hypercomplex analysis. All contributed - pers represent the most recent achievements in the area as well as “state-of-the art” expositions. The Editors are grateful to the contributors to this volume, as their works show how the topic of hypercomplex analysis is lively and fertile, and to the r- erees, for their painstaking and careful work. The Editors also thank professor M.W. Wong, President of the ISAAC, for his support which made this volume possible. October 2008, Irene Sabadini Michael Shapiro Frank Sommen Quaternionic and Cli?ord Analysis Trends in Mathematics, 1–9 c 2008 Birkh¨ auser Verlag Basel/Switzerland An Extension Theorem for Biregular Functions in Cli?ord Analysis Ricardo Abreu Blaya and Juan Bory Reyes Abstract. In this contribution we are interested in ?nding necessary and s- ?cient conditions for thetwo-sided biregular extendibility of functions de?ned 2n on a surface of R , but the latter without imposing any smoothness requi- ment. Mathematics Subject Classi?cation (2000). Primary 30E20, 30E25; Secondary 30G20. Keywords.Cli?ord analysis, biregular functions, Bochner-Martinelli formulae, extension theorems.
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From the Back Cover
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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- PublisherBirkhäuser
- Publication date2009
- ISBN 10 3764398922
- ISBN 13 9783764398927
- BindingHardcover
- LanguageEnglish
- Number of pages295
- EditorSabadini Irene, Shapiro Michael, Sommen Franciscus
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains some papers written by the participants to the Session Quaternionic and Cli ord Analysis of the 6th ISAAC Conference (held in Ankara, Turkey, in August 2007) and some invited contributions. The contents cover several di erent aspects of the hypercomplex analysis. All contributed - pers represent the most recent achievements in the area as well as state-of-the art expositions. The Editors are grateful to the contributors to this volume, as their works show how the topic of hypercomplex analysis is lively and fertile, and to the r- erees, for their painstaking and careful work. The Editors also thank professor M.W. Wong, President of the ISAAC, for his support which made this volume possible. October 2008, Irene Sabadini Michael Shapiro Frank Sommen Quaternionic and Cli ord Analysis Trends in Mathematics, 1 9 c 2008 Birkh auser Verlag Basel/Switzerland An Extension Theorem for Biregular Functions in Cli ord Analysis Ricardo Abreu Blaya and Juan Bory Reyes Abstract. In this contribution we are interested in nding necessary and s- cient conditions for thetwo-sided biregular extendibility of functions de ned 2n on a surface of R , but the latter without imposing any smoothness requi- ment. Mathematics Subject Classi cation (2000). Primary 30E20, 30E25; Secondary 30G20. Keywords.Cli ord analysis, biregular functions, Bochner-Martinelli formulae, extension theorems. 300 pp. Englisch. Seller Inventory # 9783764398927
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First-rate mathematicians as contributing authorsCovers most recent achievements in the area as well as state-of-the-art expositionsDifferent aspects of hypercomplex analysisDifferential equations in algebras.- Necessary and suffici. Seller Inventory # 5280020
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains some papers written by the participants to the Session Quaternionic and Cli ord Analysis of the 6th ISAAC Conference (held in Ankara, Turkey, in August 2007) and some invited contributions. The contents cover several di erent aspects of the hypercomplex analysis. All contributed - pers represent the most recent achievements in the area as well as state-of-the art expositions. The Editors are grateful to the contributors to this volume, as their works show how the topic of hypercomplex analysis is lively and fertile, and to the r- erees, for their painstaking and careful work. The Editors also thank professor M.W. Wong, President of the ISAAC, for his support which made this volume possible. October 2008, Irene Sabadini Michael Shapiro Frank Sommen Quaternionic and Cli ord Analysis Trends in Mathematics, 1 9 c 2008 Birkh auser Verlag Basel/Switzerland An Extension Theorem for Biregular Functions in Cli ord Analysis Ricardo Abreu Blaya and Juan Bory Reyes Abstract. In this contribution we are interested in nding necessary and s- cient conditions for thetwo-sided biregular extendibility of functions de ned 2n on a surface of R , but the latter without imposing any smoothness requi- ment. Mathematics Subject Classi cation (2000). Primary 30E20, 30E25; Secondary 30G20. Keywords.Cli ord analysis, biregular functions, Bochner-Martinelli formulae, extension theorems. Seller Inventory # 9783764398927
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