(k,a)-generalized wavelet transform and applications

We introduce the notion of the ( k , a )-generalized wavelet transform. Particular cases of such generalized wavelet transform are the classical and the Dunkl wavelet transforms. The restriction of the ( k , a )-generalized wavelet transform to radial functions is given by the generalized Hankel w...

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Bibliographic Details
Published in:	Journal of pseudo-differential operators and applications Vol. 11; no. 1; pp. 55 - 92
Main Author:	Mejjaoli, Hatem
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.03.2020 Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Estimating techniques Fourier transforms Functional Analysis Harmonic analysis Localization Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Partial Differential Equations Regularization Sobolev space Wavelet transforms Localization operators generalized wavelet generalized Secondary 42B10 47G30 generalized Fourier Theory of reproducing kernels Tikhonov regularization Primary 47G10 Laguerre semigroup
ISSN:	1662-9981, 1662-999X
Online Access:	Get full text
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