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Science/Engineering Wavelets, Multiscale Systems and Hypercomplex Analysis

Posted on 2010-03-15




Name:Science/Engineering Wavelets, Multiscale Systems and Hypercomplex Analysis
ASIN/ISBN:3764375876
Language:English
File size:1.4 Mb
Publish Date: 2006-06-30
ISBN: 3764375876
Pages: 190 pages
File Type: PDF
File Size: 1,4 MB
Other Info: Birkh?user Basel
   Science/Engineering Wavelets, Multiscale Systems and Hypercomplex Analysis

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Daniel Alpay, "Wavelets, Multiscale Systems and Hypercomplex Analysis"

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-Garc
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