caa a22 4500 475839528 CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1006475727557 doi (NATIONALLICENCE)springer-10.1023/A:1006475727557 Extension of the Ahiezer-Kac Determinant Formula to the Case of Real-Valued Symbols with Two Real Zeros [Elektronische Daten] [Sergio Albeverio, Konstantin Makarov] The Fredholm determinant asymptotics for self-adjoint convolution operators on finite intervals with real symbols vanishing on the real axis is studied. Explicit formulae are obtained in the case where the symbol satisfies the generalized zero index condition and has only two simple zeros of analytic type. These formulae are direct extensions of the Ahiezer-Kac-Szegö limit theorem which, in particular, take into account the oscillating character of the asymptotics. Kluwer Academic Publishers, 2000 Ahiezer-Kac determinant nationallicence asymptotics nationallicence convolution operators nationallicence Ahiezer-Kac-Szegö limit theorem nationallicence Wiener-Hopf decomposition nationallicence generalized zero index condition nationallicence Albeverio Sergio Institut für Angewandte Mathematik, Universität Bonn, 53115, Bonn, Germany. E-mail aut Makarov Konstantin Department of Mathematics, University of Missouri, 65211, Columbia, MO, U.S.A. aut Acta Applicandae Mathematica Kluwer Academic Publishers 62/2(2000-06-01), 155-186 0167-8019 62:2<155 2000 62 10440 https://doi.org/10.1023/A:1006475727557 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1006475727557 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Albeverio Sergio Institut für Angewandte Mathematik, Universität Bonn, 53115, Bonn, Germany. E-mail aut NATIONALLICENCE 700 1- Makarov Konstantin Department of Mathematics, University of Missouri, 65211, Columbia, MO, U.S.A aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 62/2(2000-06-01), 155-186 0167-8019 62:2<155 2000 62 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer