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On the singular behaviour of the Titchmarsh-Weyl $m$-function for the perturbed Hill's equation on the line |
Canad. Math. Bull. 40(1997), 416-421
Published:1997-12-01
Printed: Dec 1997
Printed: Dec 1997
- Dominic P. Clemence
Abstract
For the perturbed Hill's equation on the line,
$$
-\frac{d^2y}{dx^2}+ [P (x) +V (x )] y=Ey,\quad -\infty
| MSC Classifications: |
34L05 - General spectral theory 34B20 - Weyl theory and its generalizations 34B24 - Sturm-Liouville theory [See also 34Lxx] |