STATIONARY-PROCESSES INDEXED BY A HOMOGENEOUS TREE
成果类型：
Article
署名作者：
ARNAUD, JP
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176988856
发表日期：
1994
页码：
195-218
关键词：
摘要：
Let T be the set of vertices of a homogeneous tree and let (X(t))t is-an-element-of T be a second-order real or complex-valued process such that the expected value E(X(s)X(t)BAR) depends only on the distance between the vertices s and t. In this paper we construct a measure space (K, H, m) and an isometry of the closed subspace of L(C)2(OMEGA, A, P) spanned by (X(t))t is-an-element-of T onto L2(m).