Generalized differentiable product measures

A. I. Kirillov

Moscow Power Engineering Institute (Technical University)

Abstract: A class of measures on $\mathbb R^\infty$ determined by sequences of functions of finitely many variables is considered. An existence theorem for such measures is proved, and their properties are examined. Examples are presented.

UDC: 519.216.22

Received: 25.03.1996

DOI: 10.4213/mzm1246

 English version: Mathematical Notes, 1998, 63:1, 33–49

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