On convolution equations with semi-almost periodic symbols on a finite interval |
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| Authors: | A B Kuijper I M Spitkovsky |
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| Institution: | (1) Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, de Boelelaan 1081a, 1081 HV Amsterdam, the Netherlands;(2) Department of Mathematics, College of William and Mary, 23187-8795 Williamsburg, VA, USA |
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| Abstract: | This note concerns a class of Wiener-Hopf operators on a finite interval, acting between Sobolev multi-index spaces. Necessary and sufficient conditions for such an operator to be Fredholm are given, as well as a formula for the index. The argument is based on a reduction procedure of convolution operators on a finite interval to operators of the same type on the half-line.supported by the Netherlands organization for scientific research (NWO)supported in part by NSF Grant 9101143 |
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| Keywords: | Primary: 45E10 Secondary: 46E35 |
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