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Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols

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Abstract

The Fredholm properties (index, kernel, image, etc.) of Wiener-Hopf integral operators are described in terms of realization of the symbol for a class of matrix symbols that are analytic on the real line but not at infinity. The realizations are given in terms of exponentially dichotomous operators. The results obtained give a complete analogue of the earlier results for rational symbols.

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Authors and Affiliations

  1. Econometrisch Instituut, Erasmus Universiteit, Postbus 1738, 3000 DR, Rotterdam, The Netherlands

    H. Bart

  2. Dept. of Mathematical Sciences The Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv, Israel

    I. Gohberg

  3. Subfaculteit Wiskunde en Informatica, Vrije Universiteit, Postbus 7161, 1007 MC, Amsterdam, The Netherlands

    M. A. Kaashoek

Authors
  1. H. Bart
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  2. I. Gohberg
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  3. M. A. Kaashoek
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Bart, H., Gohberg, I. & Kaashoek, M.A. Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols. Integr equ oper theory 8, 590–613 (1985). https://doi.org/10.1007/BF01201705

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