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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions

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  • Massoud Amini
  • Alireza Medghalchi

Abstract

The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. In this paper, we investigate the concept of restricted positive definite functions and their relation with restricted representations of an inverse semigroup. We also introduce the restricted Fourier and Fourier-Stieltjes algebras of an inverse semigroup and study their relation with the corresponding algebras on the associated groupoid.

Suggested Citation

  • Massoud Amini & Alireza Medghalchi, 2011. "Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-21, September.
    • Handle: RePEc:hin:jijmms:324821
    DOI: 10.1155/2011/324821
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