Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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GENERALIZED TRANSLATION OPERATORS AND THEIR RELATED MARKOV PROCESSES

CAO VAN NUOI

pp. 87-95

Abstract

We study properties of generalized translation operators and their relations with the associated Markov processes. Some relations between a Levitan family of generalized translation operators and its associated random convolution (in the sense of Vol’kovich) are established. The generalized differential operator introduced by N. V. Thu (1994) is also investigated.