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June 2004 The Clifford-Laguerre Continuous Wavelet Transform
Fred Brackx, Nele De Schepper, Frank Sommen
Bull. Belg. Math. Soc. Simon Stevin 11(2): 201-215 (June 2004). DOI: 10.36045/bbms/1086969312

Abstract

Higher dimensional wavelets are constructed in the framework of Clifford analysis by taking the Clifford-monogenic extension of specific functions. Clifford-monogenic functions are direct higher dimensional generalizations of holomorphic functions in the complex plane. In this way also new generalized polynomials, the so-called Clifford-Laguerre polynomials, are obtained.

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Fred Brackx. Nele De Schepper. Frank Sommen. "The Clifford-Laguerre Continuous Wavelet Transform." Bull. Belg. Math. Soc. Simon Stevin 11 (2) 201 - 215, June 2004. https://doi.org/10.36045/bbms/1086969312

Information

Published: June 2004
First available in Project Euclid: 11 June 2004

zbMATH: 1077.42026
MathSciNet: MR2080422
Digital Object Identifier: 10.36045/bbms/1086969312

Subjects:
Primary: 42B10
Secondary: 30G35‎, 44A15

Rights: Copyright © 2004 The Belgian Mathematical Society

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Vol.11 • No. 2 • June 2004
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