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Explicit Wiener-Hopf factorization for certain non-rational matrix functions |
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| Authors: | Tuncay Aktosun Martin Klaus Cornelis van der Mee |
| Affiliation: | (1) Dept. of Mathematics, North Dakota State University, 58105 Fargo, ND;(2) Dept. of Mathematics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, VA;(3) Dept. of Physics and Astronomy, Free University, De Boelelaan 1081, Amsterdam, The Netherlands |
| Abstract: | Explicit Wiener-Hopf factorizations are obtained for a certain class of nonrational 2×2 matrix functions that are related to the scattering matrices for the 1-D Schrödinger equation. The diagonal elements coincide and are meromorphic and nonzero in the upper-half complex plane and either they vanish linearly at the origin or they do not vanish. The most conspicuous nonrationality consists of imaginary exponential factors in the off-diagonal elements. |
| Keywords: | 47A68 81U40 |
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