SOME PROPERTIES OF SPECTRAL EXPANSIONS RELATED TO THE ONE-DIMENSIONALSTARK-EFFECT HAMILTONIAN

Citation
Va. Ilin et Lv. Kritskov, SOME PROPERTIES OF SPECTRAL EXPANSIONS RELATED TO THE ONE-DIMENSIONALSTARK-EFFECT HAMILTONIAN, Computers & mathematics with applications, 34(5-6), 1997, pp. 633-640
Citations number
19
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
34
Issue
5-6
Year of publication
1997
Pages
633 - 640
Database
ISI
SICI code
0898-1221(1997)34:5-6<633:SPOSER>2.0.ZU;2-0
Abstract
We consider the one-dimensional Stark effect Hamiltonian defined over the whole line R by the differential expression Hu = -u'' + Exu + q(x) u, E not equal 0. This paper analyses the equiconvergence property of the related spectral expansion with the Fourier integral expansion in the uniform over any compact set or over the whole line R metric.