Acta Mathematica Vietnamica
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STOCHASTIC PROCESSES INDEXED BY URBANIK CONVOLUTION ALGEBRAS
NGUYEN VAN THU, CAO VAN NUOIpp. 1-13
Abstract
The aim of the present paper is to study a class of second order stochastic processes indexed by Urbanik convolution algebras. We prove their spectral representation which stands for an analogue of that of processes indexed by hypergroups. Moreover, we show that they can be reduced to $*_{\alpha}$-correlated processes.