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

Massoud Amini | Zendy; Alireza Medghalchi | Zendy

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

Author(s) -

Massoud Amini,

Alireza Medghalchi

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/324821

Subject(s) - mathematics , inverse semigroup , positive definite matrix , relation (database) , inverse , semigroup , pure mathematics , fourier transform , algebra over a field , mathematical analysis , eigenvalues and eigenvectors , physics , geometry , quantum mechanics , database , computer science

The relation between representations and positive definite functionsis 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.

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