Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (5): 1851-1874.doi: 10.1016/S0252-9602(12)60145-3

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ON RUBIN´S HARMONIC ANALYSIS AND ITS RELATED POSITIVE DEFINITE FUNCTIONS

Néji Bettaibi|Kamel Mezlini|Moufida El Guénichi   

  1. 1.College of Science, Qassim University, Burida, Kingdom of Saudi Arabia;2.Institute Supérieur des Sciences Appliqu´ees et de la Technologie de Mateur, Route de Tabarka, Mateur, 7030, Tunisia;3.Faculté|des Sciences de Tunis, Campus Universitaire Tunis, El Manar, 2092 Tunis, Tunisia
  • Received:2011-03-15 Online:2012-09-20 Published:2012-09-20

Abstract:

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.

Key words: q-harmonic analysis, definite positive function, Bochner theorem

CLC Number: 

  • 33D15
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