Articles

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

  • Néji Bettaibi ,
  • Kamel Mezlini ,
  • Moufida El Guénichi
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  • 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 date: 2011-03-15

  Online 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.

Cite this article

Néji Bettaibi , Kamel Mezlini , Moufida El Guénichi . ON RUBIN´S HARMONIC ANALYSIS AND ITS RELATED POSITIVE DEFINITE FUNCTIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 1851 -1874 . DOI: 10.1016/S0252-9602(12)60145-3

References

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