Wavelets, Multiscale Systems and Hypercomplex Analysis (Hardcover)

Daniel Alpay

ISBN 10: 3764375876 / ISBN 13: 9783764375874

Published by Birkhauser Verlag AG, Basel, 2006

About this Item

Hardcover. From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole function theory, different from the classical theory of several complex variables, can be developped when one considers hypercomplex (Clifford) variables, Fueter polynomials and the Cauchy-Kovalevskaya product, in place of the classical polynomials in three independent variables.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.Contributors: R. Abreu-Blaya, J. Bory-Reyes, F. Brackx, Sh. Chandrasekaran, N. de Schepper, P. Dewilde, D.E. Dutkay, K. Gustafson, H. Heyer, P.E.T. Jorgensen, T. Moreno-Garcia, L. Peng, F. Sommen, M.W. Wong, J. Zhao, H. Zhu 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. In this title, most of the articles have been written on invitation and they provide a collection of material, particularly relating to Clifford analysis and the theory of wavelets. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783764375874

Bibliographic Details

• Title: Wavelets, Multiscale Systems and Hypercomplex Analysis (Hardcover)
• Publisher: Birkhauser Verlag AG, Basel
• Publication Date: 2006
• Language: English
• ISBN 10: 3764375876
• ISBN 13: 9783764375874
• Binding: Hardcover
• Condition: new

About this title

Synopsis

From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole function theory, different from the classical theory of several complex variables, can be developped when one considers hypercomplex (Clifford) variables, Fueter polynomials and the Cauchy-Kovalevskaya product, in place of the classical polynomials in three independent variables.

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.

Contributors: R. Abreu-Blaya, J. Bory-Reyes, F. Brackx, Sh. Chandrasekaran, N. de Schepper, P. Dewilde, D.E. Dutkay, K. Gustafson, H. Heyer, P.E.T. Jorgensen, T. Moreno-García, L. Peng, F. Sommen, M.W. Wong, J. Zhao, H. Zhu