Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols |
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| Authors: | H Bart I Gohberg M A Kaashoek |
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| Institution: | (1) Econometrisch Instituut, Erasmus Universiteit, Postbus 1738, 3000 DR Rotterdam, The Netherlands;(2) Dept. of Mathematical Sciences The Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv, Israel;(3) Subfaculteit Wiskunde en Informatica, Vrije Universiteit, Postbus 7161, 1007 MC Amsterdam, The Netherlands |
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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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