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ASYMPTOTICS ON THE DIAGONAL OF THE GREEN FUNCTION OF A STURM–LIOUVILLE OPERATOR AND ITS APPLICATIONS

Published online by Cambridge University Press:  01 April 2000

N. CHERNYAVSKAYA  and
L. SHUSTER
N. CHERNYAVSKAYA
Affiliation:
Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, POB 653, Beer-Sheva 84105, Israel
L. SHUSTER
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel
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Abstract

Asymptotics on the diagonal of the Green function and, as a consequence, asymptotic distribution of the spectrum for the semibounded Sturm–Liouville operator are obtained.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 506 - 530
Copyright
The London Mathematical Society 2000

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