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Acta Mathematica Vietnamica

A REPRESENTATION THEOREM FOR SYMMETRIC STABLE RANDOM OPERATORS

icon-email DANG HUNG THANG

Abstract

In this paper, it is shown that every symmetric $p$-stable random operator has a representation of the form of a random integral with respect to an $p$-stable random measure. A necessary and sufficient condition is given for the existence of a representation of the form of a random series.