Vol. 31, No. 2, 1969

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Singularity of Gaussian measures in function spaces with factorable covariance functions

James Juei-Chin Yeh

Vol. 31 (1969), No. 2, 547–554
Abstract

Singularity of Gaussian measures μ1 and μ2 on the function space RIJ of real valued functions x(t) on an arbitrary interval D with factorable covariance functions ri(s,t), i.e., ri(s,t) = ui(s)vi(t) for s t and ri(s,t) = vi(s)ui(t) for s t,i = 1,2, is treated. Local conditions on the factor functions ui(t) and vx(t) which insure the singularity of μ1 and μ2 are given.

Mathematical Subject Classification
Primary: 60.40
Milestones
Received: 3 April 1969
Published: 1 November 1969
Authors
James Juei-Chin Yeh