Operators of the form f(xD) -g(L), where L is a shift (lowering) operator, arise naturally in the study of stochastic processes, such as Brownian motion, on the affine group. We find the polynomial eigenfunctions and the action of the affine group as well as the matrix elements of an exponential fun
✦ LIBER ✦
The Generalized Clifford-Gegenbauer Polynomials Revisited
✍ Scribed by Nele De Schepper
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 257 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0188-7009
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Institute of Mathematics, Chinese Academy of Scien
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2009
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John Wiley and Sons
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## Abstract Clifford analysis is a higher‐dimensional function theory offering a refinement of classical harmonic analysis, which has proven to be an appropriate framework for developing higher‐dimensional continuous wavelet transforms, the construction of the wavelets being based on generalization
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