On the Inverse and Determinant of Certain Truncated Wiener-Hopf Operators |
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Authors: | Harold Widom |
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Institution: | (1) Department of Mathematics, University of California, Santa Cruz, CA 95064, USA |
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Abstract: | The solution of a problem arising in integrable systems requires sharp asymptotics for the inverses and determinants of truncated
Wiener-Hopf operators, both in the regular case (where the non-truncated Wiener-Hopf operator is invertible) and in singular
cases. This paper treats two cases where the symbol of the Wiener-Hopf operator has Fisher-Hartwig singularities, one double
zero or two simple zeros. We find formulas for the inverse that hold uniformly throughout the underlying interval with very
small error, and formulas for the determinant with very small error. |
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Keywords: | 47B35 |
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