Operator Theory: Advances and Applications
cover

Wavelets, Multiscale Systems and Hypercomplex Analysis

Editors: Alpay, Daniel (Ed.)

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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

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Teodorescu Transform Decomposition of Multivector Fields on Fractal Hypersurfaces

    Pages 1-16

    Abreu-Blaya, Ricardo (et al.)

  • Metric Dependent Clifford Analysis with Applications to Wavelet Analysis

    Pages 17-67

    Brackx, Fred (et al.)

  • A Hierarchical Semi-separable Moore-Penrose Equation Solver

    Pages 69-85

    Dewilde, Patrick (et al.)

  • Methods from Multiscale Theory and Wavelets Applied to Nonlinear Dynamics

    Pages 87-126

    Dutkay, Dorin Ervin (et al.)

  • Noncommutative Trigonometry

    Pages 127-155

    Gustafson, Karl

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-7643-7588-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts from 10 eBooks
Hardcover $149.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Wavelets, Multiscale Systems and Hypercomplex Analysis
Editors
  • Daniel Alpay
Series Title
Operator Theory: Advances and Applications
Series Volume
167
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7588-1
DOI
10.1007/3-7643-7588-4
Hardcover ISBN
978-3-7643-7587-4
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XI, 190
Topics