Some properties of~generalized spectral problems associated with the Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 59-68
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Dependence of the spectrum of generalized eigen-value problems connected with the one-particle Schrödinger equation upon the form of the weight operator and value of the energy parameter is investigated. Under sufficiently general conditions corresponding systems of eigen-functions realize diagonal representations of the Green function and can be used for constructing spectral expansions with the most convenient character of the spectrum.
@article{TMF_1989_81_1_a5,
author = {N. E. Firsova and A. I. Sherstyuk},
title = {Some properties of~generalized spectral problems associated with the {Schr\"odinger} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {59--68},
publisher = {mathdoc},
volume = {81},
number = {1},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a5/}
}
TY - JOUR AU - N. E. Firsova AU - A. I. Sherstyuk TI - Some properties of~generalized spectral problems associated with the Schr\"odinger equation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 59 EP - 68 VL - 81 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a5/ LA - ru ID - TMF_1989_81_1_a5 ER -
%0 Journal Article %A N. E. Firsova %A A. I. Sherstyuk %T Some properties of~generalized spectral problems associated with the Schr\"odinger equation %J Teoretičeskaâ i matematičeskaâ fizika %D 1989 %P 59-68 %V 81 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a5/ %G ru %F TMF_1989_81_1_a5
N. E. Firsova; A. I. Sherstyuk. Some properties of~generalized spectral problems associated with the Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 59-68. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a5/