Geodesic
A Criterion for Spectrum Decomposition
Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 670-681 
Kh. K. Ishkin. A Criterion for Spectrum Decomposition. Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 670-681. http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a4/
@article{MZM_2002_72_5_a4,
     author = {Kh. K. Ishkin},
     title = {A {Criterion} for {Spectrum} {Decomposition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {670--681},
     year = {2002},
     volume = {72},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a4/}
}
TY  - JOUR
AU  - Kh. K. Ishkin
TI  - A Criterion for Spectrum Decomposition
JO  - Matematičeskie zametki
PY  - 2002
SP  - 670
EP  - 681
VL  - 72
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a4/
LA  - ru
ID  - MZM_2002_72_5_a4
ER  - 
%0 Journal Article
%A Kh. K. Ishkin
%T A Criterion for Spectrum Decomposition
%J Matematičeskie zametki
%D 2002
%P 670-681
%V 72
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a4/
%G ru
%F MZM_2002_72_5_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a necessary and sufficient condition for the decomposition of the spectrum of an arbitrary nonsymmetric potential whose least value is attained at finitely many points.

[1] Alenitsyn A. G., “Rasscheplenie spektra, porozhdennoe potentsialnym barerom v zadachakh s simmetrichnym potentsialom”, Differents. uravneniya, 18:11 (1982), 1971–1975 | MR | Zbl

[2] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, T. 4, Mir, M., 1982

[3] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | Zbl

[4] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969

[5] Fedoryuk M. V., Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | Zbl

[6] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, T. 1, Vischa shkola, Kharkov, 1977