Browsing by Author "Ghany, Hossam. A."

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    HARMONIC ANALYSIS ON HYPERGROUPS
    (AMER INST PHYSICS, 2010) El Bab, A. S. Okb; Ghany, Hossam. A.
    The main task in this article is to give the necessary and sufficient conditions guarantees that the product of two positive definite functions defined on a hypergroup X is also positive definite on X. Also, we prove that a continuous function with compact support psi is negative definite if and only if exp(-t psi) is positive definite for each t > 0. Moreover, we will give some relations between the class of completely monotonic functions on a hypergroup and the set of tau- positive functions.