Accession Number : AD0737229

Title :   On Gaussian Measures in Certain Locally Convex Spaces,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Bajput,Balram S.

Report Date : JAN 1972

Pagination or Media Count : 38

Abstract : The purpose of the paper is threefold: Firstly, the topological support of Gaussian measures on certain locally convex spaces are obtained; Secondly, strongly convergent series expansions of elements in separable Frechet spaces, related to Gaussian measures, are obtained, this result is applied to obtain Karhunen-Loeve type expansions for Gaussian processes; Thirdly, it is shown that any zero mean Gaussian measure on a separable Frechet space can be obtained as the sigma-extension of the canonical Gaussian cylinder measure of a separable Hilbert space. Other related problems are also discussed. (Author)

Descriptors :   (*MEASURE THEORY, STATISTICAL PROCESSES), ALGEBRAIC TOPOLOGY, CONVEX SETS, VECTOR SPACES, BANACH SPACE, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE