Generalized Random Spectral Measures

TitleGeneralized Random Spectral Measures
Publication TypeJournal Article
Year of Publication2014
AuthorsThang, DHung, Thinh, N, Quy, TXuan
JournalJournal of Theoretical Probability
Volume27
Pagination576–600
ISSN1572-9230
Abstract

In an attempt to examine the random version of the spectral theorem, the notion of random spectral measures and generalized random spectral measures are introduced and investigated. It is shown that each generalized random spectral measure on \$\$({\backslash}mathbb C ,{\backslash}mathcal\{B\}({\backslash}mathbb C ))\$\$ admits a modification which is a random spectral measure.

URLhttp://dx.doi.org/10.1007/s10959-012-0461-0
DOI10.1007/s10959-012-0461-0