Wavelet-multipliers analysis in the framework of the k-Laguerre theory

Hatem Mejjaoli

doi:10.1080/03081087.2017.1410093

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Wavelet-multipliers analysis in the framework of the k-Laguerre theory

Journal article

Peer reviewed

Wavelet-multipliers analysis in the framework of the k-Laguerre theory

Hatem Mejjaoli

Linear & multilinear algebra, Vol.67(1), pp.70-93

02/01/2019

DOI: https://doi.org/10.1080/03081087.2017.1410093

Abstract

generalized Fourier transform

k-Laguerre multipliers

k-Laguerre semigroup

k-Laguerre two-wavelet multipliers

Primary: 47G10

Schatten-von Neumann class

Secondary: 42B10

We introduce the notion of a k-Laguerre two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from into in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of Laguerre two-wavelet multipliers on , .

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Title: Wavelet-multipliers analysis in the framework of the k-Laguerre theory
Creators - without role: Hatem Mejjaoli - Taibah University
Publication Details: Linear & multilinear algebra, Vol.67(1), pp.70-93
Publisher: Taylor & Francis
Identifiers: 9930030808331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article