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Smooth positive definite functions on some multiplicative semigroups
Authors:Jan Stochel
Affiliation:1. Instytut Matematyki, Uniwersytet Jagiellonski, ul Reymonta 4, 30-059, Krakow, Poland
Abstract:Smoothness of positive definite functions on multiplicative semigroups of the form ]−1, 1[ d ,d≥1, is characterized in terms of their representing measures. Some extension questions concerning functions of this type are discussed.
Keywords:
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