Hypercomplex Analysis And Applications PDF Download
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Author | : Irene Sabadini |
Publisher | : Springer Science & Business Media |
Total Pages | : 280 |
Release | : 2010-12-20 |
Genre | : Mathematics |
ISBN | : 3034602464 |
Download Hypercomplex Analysis and Applications Book in PDF, ePub and Kindle
The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.
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.
Author | : Swanhild Bernstein |
Publisher | : Birkhäuser |
Total Pages | : 310 |
Release | : 2016-11-21 |
Genre | : Mathematics |
ISBN | : 3319425293 |
Download Modern Trends in Hypercomplex Analysis Book 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.
Author | : Irene Sabadini |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2009-04-21 |
Genre | : Mathematics |
ISBN | : 3764398930 |
Download Hypercomplex Analysis Book in PDF, ePub and Kindle
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.
Author | : Daniel Alpay |
Publisher | : Springer Science & Business Media |
Total Pages | : 197 |
Release | : 2006-08-06 |
Genre | : Mathematics |
ISBN | : 3764375884 |
Download Wavelets, Multiscale Systems and Hypercomplex Analysis Book in PDF, ePub and Kindle
This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.
Author | : Enrique Ramírez de Arellano |
Publisher | : American Mathematical Soc. |
Total Pages | : 312 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821806777 |
Download Operator Theory for Complex and Hypercomplex Analysis Book in PDF, ePub and Kindle
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.
Author | : Daniel Alpay |
Publisher | : Springer |
Total Pages | : 316 |
Release | : 2019-08-08 |
Genre | : Mathematics |
ISBN | : 3030184846 |
Download Linear Systems, Signal Processing and Hypercomplex Analysis Book in PDF, ePub and Kindle
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.
Author | : Graziano Gentili |
Publisher | : Springer |
Total Pages | : 148 |
Release | : 2012-11-15 |
Genre | : Mathematics |
ISBN | : 9788847024441 |
Download Advances in Hypercomplex Analysis Book in PDF, ePub and Kindle
This volume is intended to collect important research results to the lectures and discussions which took Place in Rome, at the INdAM Workshop on Different Notions of Regularity for Functions of Quaternionic Variables in September 2010. This volume will collect recent and new results, which are connected to the topic covered during the workshop. The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.
Author | : Yu.M. Berezansky |
Publisher | : Springer Science & Business Media |
Total Pages | : 494 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9401717583 |
Download Harmonic Analysis in Hypercomplex Systems Book in PDF, ePub and Kindle
First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, starting from 1950, it was noticed that, in such constructions, an important role is played by the fact that the kernels of the corresponding convolutions of functions are nonnegative and by the properties of the normed algebras generated by these convolutions. That was the way the notion of hypercomplex system with continu ous basis appeared. A hypercomplex system is a normed algebra of functions on a locally compact space Q-the "basis" of this hypercomplex system. Later, similar objects, hypergroups, were introduced, which have complex-valued measures on Q as elements and convolution defined to be essentially the convolution of functionals and dual to the original convolution (if measures are regarded as functionals on the space of continuous functions on Q). However, until 1991, the time when this book was written in Russian, there were no monographs containing fundamentals of the theory (with an exception of a short section in the book by Yu. M. Berezansky and Yu. G. Kondratiev [BeKo]). The authors wanted to give an introduction to the theory and cover the most important subsequent results and examples.
Author | : Graziano Gentili |
Publisher | : Springer Science & Business Media |
Total Pages | : 149 |
Release | : 2012-11-14 |
Genre | : Mathematics |
ISBN | : 8847024455 |
Download Advances in Hypercomplex Analysis Book in PDF, ePub and Kindle
This volume is intended to collect important research results to the lectures and discussions which took Place in Rome, at the INdAM Workshop on Different Notions of Regularity for Functions of Quaternionic Variables in September 2010. This volume will collect recent and new results, which are connected to the topic covered during the workshop. The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.