%0 Journal Article
%T A note on local asymptotic behaviour for Brownian motion in Banach spaces
%A Mou-Hsiung Chang
%J International Journal of Mathematics and Mathematical Sciences
%D 1979
%I Hindawi Publishing Corporation
%R 10.1155/s0161171279000491
%X In this paper we obtain an integral characterization of a two-sided upper function for Brownian motion in a real separable Banach space. This characterization generalizes that of Jain and Taylor [2] where B= бщ    n. The integral test obtained involves the index of a mean zero Gaussian measure on the Banach space, which is due to Kuelbs [3]. The special case that when B is itself a real separable Hilbert space is also illustrated.
%K Gaussian measures on B-space
%K abstract Wiener spaces
%K covariace operators
%K Brownian motion in B-space
%K upper and lower functions
%K integral test.
%U http://dx.doi.org/10.1155/S0161171279000491