Title | Sharp asymptotics of the Kolmogorov entropy for Gaussian measures |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | Harald Luschgy, and Gilles Pagès |
Journal | Journal of Functional Analysis |
Volume | 212 |
Pagination | 89 - 120 |
ISSN | 0022-1236 |
Keywords | Shannon entropy |
Abstract | The sharp asymptotics for the -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. |