Editors:
- First-rate contributors, most articles have been written on invitation
- Unique collection of material, particularly relating Clifford analysis and the theory of wavelets
Part of the book series: Operator Theory: Advances and Applications (OT, volume 167)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (8 chapters)
-
Front Matter
About this book
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
Editors and Affiliations
-
Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel
Daniel Alpay
-
Institut für Analysis und Scientiific Computing, Technische Universität Wien, Wien, Austria
Annemarie Luger, Harald Woracek
Bibliographic Information
Book Title: Wavelets, Multiscale Systems and Hypercomplex Analysis
Editors: Daniel Alpay, Annemarie Luger, Harald Woracek
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/3-7643-7588-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7587-4Published: 18 May 2006
eBook ISBN: 978-3-7643-7588-1Published: 06 August 2006
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XI, 190
Topics: Algebra, Analysis, Operator Theory, Systems Theory, Control, Functions of a Complex Variable, Abstract Harmonic Analysis