On rubin's harmonic analysis and its related positive definite functions

Néji Bettaibi; Kamel Mezlini; Moufida El Guénichi

doi:10.1016/S0252-9602(12)60145-3

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On rubin's harmonic analysis and its related positive definite functions

Journal article

Peer reviewed

On rubin's harmonic analysis and its related positive definite functions

Néji Bettaibi, Kamel Mezlini and Moufida El Guénichi

Acta mathematica scientia, Vol.32(5), pp.1851-1874

01/09/2012

DOI: https://doi.org/10.1016/S0252-9602(12)60145-3

Abstract

33D15

33D60

42A38

42A82

Bochner theorem

definite positive function

q-harmonic analysis

In this paper, a new formulation of the Rubin's q-translation is given, which leads to a reliable q-harmonic analysis. Next, related q-positive definite functions are introduced and studied, and a Bochner's theorem is proved.

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Title: On rubin's harmonic analysis and its related positive definite functions
Creators - without role: Néji Bettaibi - Qassim University
Kamel Mezlini - Mateur Higher School of Agriculture
Moufida El Guénichi - Faculté des Sciences de Tunis, Campus Universitaire Tunis, El Manar, 2092 Tunis, Tunisia
Publication Details: Acta mathematica scientia, Vol.32(5), pp.1851-1874
Publisher: Elsevier Ltd
Identifiers: 9928553008331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article