Regularized traces of the Hill operator (Q2704026)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Regularized traces of the Hill operator |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularized traces of the Hill operator |
scientific article |
Statements
12 June 2002
0 references
Hill operator
0 references
regularized trace
0 references
zeta function
0 references
quasimomentum
0 references
spectrum
0 references
Regularized traces of the Hill operator (English)
0 references
Regularized trace formulas for the positive definite Hill operator are derived. The Hill operator is considered on the real line, i.e. NEWLINE\[NEWLINE -y'' + p(x)y = \lambda y, \;\;x\in (-\infty , +\infty), NEWLINE\]NEWLINE where \(p(x)\) is a real smooth \(2\pi \)-periodic function. Moreover, powers of the Hill operator are investigated from the same point of view.
0 references
0.7992269992828369
0 references
