Abstract
The notion of stochastic convolution arises from a study on various operations on probability measures. Although these operations appear in diverse branches of mathematics, their properties turn out to be similar. A general model for the study of such convolutions has been provided in earlier papers by the author. In this paper we consider some new properties of this model for convolutions corresponding to generalized integral transforms. The tools of this model can be applied to study many realizations of stochastic convolutions, for example, Urbanik's regular convolutions, the polynomial hypergroup's convolutions of Lasser, the convolution of Askey-Gasper and Levitan's convolution.
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