Entropy-constrained functional quantization of Gaussian measures

TitleEntropy-constrained functional quantization of Gaussian measures
Publication TypeJournal Article
Year of Publication2005
AuthorsHarald Luschgy, and Siegfried Graf
JournalProceedings AMS
Volume133
Pagination3403-3409
Abstract

The sharp asymptotics for the entropy-constrained $ L^2 $-quantization errors of Gaussian measures on a Hilbert space and in particular, for Gaussian processes is derived. The condition imposed is regular variation of the eigenvalues of the covariance operator.