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The Wavelet Transform in Clifford Analysis

The Wavelet Transform in Clifford Analysis The upper half space G = {(x 0,…, x n): x 0 > 0} can be considered as the group generated by dilations and translations on ℝn. This group has a natural unitary representation on L 2(ℝn). Using the continuous wavelet transform, certain Banach and Hilbert spaces of functions monogenic (i.e. solutions of the Cauchy-Riemann operator) on the Poincaré half space are constructed. The Hilbert spaces are linked with the fractional calculus of the Dirac operator on ℝn. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

The Wavelet Transform in Clifford Analysis

Computational Methods and Function Theory , Volume 1 (2) – Mar 7, 2013

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Publisher
Springer Journals
Copyright
Copyright © 2001 by Heldermann Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03320996
Publisher site
See Article on Publisher Site

Abstract

The upper half space G = {(x 0,…, x n): x 0 > 0} can be considered as the group generated by dilations and translations on ℝn. This group has a natural unitary representation on L 2(ℝn). Using the continuous wavelet transform, certain Banach and Hilbert spaces of functions monogenic (i.e. solutions of the Cauchy-Riemann operator) on the Poincaré half space are constructed. The Hilbert spaces are linked with the fractional calculus of the Dirac operator on ℝn.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

References