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-Garcìa, L. Peng, F. Sommen, M.W. Wong, J. Zhao, H. Zhu
| ISBN: | 9783764375874 |
| Publication date: | 18th May 2006 |
| Author: | Daniel Alpay |
| Publisher: | Birkhauser an imprint of Birkhäuser Basel |
| Format: | Hardback |
| Pagination: | 190 pages |
| Series: | Operator Theory, Advances and Applications |
| Genres: |
Algebra Complex analysis, complex variables Functional analysis and transforms Cybernetics and systems theory Calculus and mathematical 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.
Wavelets, Multiscale Systems and Hypercomplex Analysis features in the following genres: Algebra, Complex analysis, complex variables, Functional analysis and transforms, Cybernetics and systems theory, Calculus and mathematical analysis
Hardback. Not Available.
Wavelets, Multiscale Systems and Hypercomplex Analysis was written by Daniel Alpay and published by Birkhauser an imprint of Birkhäuser Basel
Wavelets, Multiscale Systems and Hypercomplex Analysis has 190 pages
Yes it is part of Operator Theory, Advances and Applications series