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On a class of Hankel operators: Fredholm properties and invertibility

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Abstract

A study is presented on the Fredholm properties and invertibility of a Hankel integral operator inL 2+ (ℝ) with a kernel function inS′ℝ whose Fourier transformK is a measurable essentially bounded function in ℝ. This study is based on the properties of a Wiener-Hopf operator with a matrix valued symbol naturally associated with the operator mentioned above. Further results are obtained for the case whereK ∈PC(ℝ), and an application to a diffraction problem is presented.

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Authors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, U.T.L., Av. Rovisco Pais, 1096, Lisboa Codex, Portugal

    F. S. Teixeira

  2. Complexo I do I.N.I.C., Centro de Análise e Processamento de Sinais, Av. Rovisco Pais, 1000, Lisboa, Portugal

    F. S. Teixeira

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Teixeira, F.S. On a class of Hankel operators: Fredholm properties and invertibility. Integr equ oper theory 12, 592–613 (1989). https://doi.org/10.1007/BF01199460

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  • DOI: https://doi.org/10.1007/BF01199460

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