A Continuous Analogue of the Fisher-Hartwig Formula for Piecewise Continuous Symbols

A Continuous Analogue of the Fisher-Hartwig Formula for Piecewise Continuous Symbols

The Fisher-Hartwig formula alluded to describes the asymptotic behavior of large Toeplitz determinants generated by piecewise continuous functions. The purpose of the present paper is to establish an analogue of this formula for truncated Wiener-Hopf integral operators under the assumption that thes...

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Veröffentlicht in:Journal of functional analysis 1994-05, Vol.122 (1), p.222-246
Hauptverfasser: Bottcher, A., Silbermann, B., Widom, H.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Operator theory
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:The Fisher-Hartwig formula alluded to describes the asymptotic behavior of large Toeplitz determinants generated by piecewise continuous functions. The purpose of the present paper is to establish an analogue of this formula for truncated Wiener-Hopf integral operators under the assumption that these are of the form identity plus trace operator.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1994.1066