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
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.