(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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Vydané v:	Journal of pseudo-differential operators and applications Ročník 11; číslo 1; s. 55 - 92
Hlavný autor:	Mejjaoli, Hatem
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.03.2020 Springer Nature B.V
Predmet:	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
On-line prístup:	Získať plný text
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