Acta mathematica scientia, Series B >
ON RUBIN´S HARMONIC ANALYSIS AND ITS RELATED POSITIVE DEFINITE FUNCTIONS
Received date: 2011-03-15
Online published: 2012-09-20
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
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
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