An indicator for Wiener-Hopf integral equations with invertible analytic symbol

H. Bart; L.G. Kroon

doi:10.1007/BF01691887

An indicator for Wiener-Hopf integral equations with invertible analytic symbol

H. Bart, L.G. Kroon

Department of Mathematics and Computer Science

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

2 Citaten (Scopus)

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Samenvatting

For Wiener-Hopf integral equations with an operator or matrix valued kernel and with an invertible symbol which is analytic on the real line and at infinity an indicator is introduced. In general this indicator is a bounded linear operator, but when the kernel is matrix valued and the symbol is rational it is a (possibly non-square) matrix. From the indicator the invertibility properties and Fredholm characteristics of the integral equation can be read off. The class of Wiener-Hopf equations studied here is also described in terms of growth conditions on the derivatives of the kernel.

Originele taal-2	Engels
Pagina's (van-tot)	1-20
Tijdschrift	Integral Equations and Operator Theory
Volume	6
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1007/BF01691887
Status	Gepubliceerd - 1983

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10.1007/BF01691887

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Citeer dit

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AB - For Wiener-Hopf integral equations with an operator or matrix valued kernel and with an invertible symbol which is analytic on the real line and at infinity an indicator is introduced. In general this indicator is a bounded linear operator, but when the kernel is matrix valued and the symbol is rational it is a (possibly non-square) matrix. From the indicator the invertibility properties and Fredholm characteristics of the integral equation can be read off. The class of Wiener-Hopf equations studied here is also described in terms of growth conditions on the derivatives of the kernel.

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