The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −xc(c ≦ 2)-Reference-Cited by-同舟云学术

The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −xc(c ≦ 2)

Published:1998 Issue:1 Volume:128 Page:37-45
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Eastham M. S. P.

Abstract

A new formula is given for the spectral function in singular Sturm–Liouville problems where the potential is like – (const.)xc(0 < c ≦ 2). The formula is used to answer an open question concerning the asymptotic form of the spectral function.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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