AN ESTIMATION OF SINGULAR-VALUES OF CONVOLUTION-OPERATORS

Authors
DOSTANIC MR
Citation
Mr. Dostanic, AN ESTIMATION OF SINGULAR-VALUES OF CONVOLUTION-OPERATORS, Proceedings of the American Mathematical Society, 123(5), 1995, pp. 1399-1409
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
5
Year of publication
1995
Pages
1399 - 1409
Database
ISI
SICI code
0002-9939(1995)123:5<1399:AEOSOC>2.0.ZU;2-S
Abstract
In this paper we determine the asymptotic order of singular values of convolution operators integral(o)(x) k(x - y) . dy, where k(x) = x(alp ha-1) L(1/x) (0 < alpha < 1/2) and L is a slowly varying function from some class.