Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. (English) Zbl 1169.30023
The paper deals with generalized Clifford-Hermite polynomials in a
Hermite-Clifford setting. This conception has been thoroughly studied by the authors over the last years. Vanishing moments are introduced in order to ensure a filtering of polynomial behavior of signals.
This is a most desirable property in wavelet analysis. Homogeneous hermitian
monogenic polynomials are investigated in detail and
established their connection with Laguerre polynomials.
Reviewer: Wolfgang Sprößig (Freiberg)
MSC:
| 30G35 | Functions of hypercomplex variables and generalized variables |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
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