A CONTINUOUS ANALOG OF THE FISHER-HARTWIG FORMULA FOR PIECEWISE CONTINUOUS SYMBOLS

Authors
BOTTCHER A SILBERMANN B WIDOM H
Citation
A. Bottcher et al., A CONTINUOUS ANALOG OF THE FISHER-HARTWIG FORMULA FOR PIECEWISE CONTINUOUS SYMBOLS, Journal of functional analysis, 122(1), 1994, pp. 222-246
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
122
Issue
1
Year of publication
1994
Pages
222 - 246
Database
ISI
SICI code
0022-1236(1994)122:1<222:ACAOTF>2.0.ZU;2-P
Abstract
The Fisher-Hartwig formula alluded to describes the asymptotic behavio r of large Toeplitz determinants generated by piecewise continuous fun ctions. The purpose of the present paper is to establish an analogue o f this formula for truncated Wiener-Hopf integral operators under the assumption that these are of the form identity plus trace operator. (C ) 1994 Academic Press, Inc.