Geodesic
On the computation of the spectrum of directionally perturbed operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1179-1199 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A class of operators with special spectral properties is defined. An operator in this class is fairly simple, acts in a separable Hilbert space, and can be perturbed so that an a priori given function from its domain is an eigenfunction of the perturbed operator. This fact is shown to be useful for constructing operators in mathematical physics. Specific examples are given. 
@article{ZVMMF_2010_50_7_a1,
     author = {E. M. Maleko},
     title = {On the computation of the spectrum of directionally perturbed operators},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1179--1199},
     year = {2010},
     volume = {50},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a1/}
}
TY  - JOUR
AU  - E. M. Maleko
TI  - On the computation of the spectrum of directionally perturbed operators
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2010
SP  - 1179
EP  - 1199
VL  - 50
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a1/
LA  - ru
ID  - ZVMMF_2010_50_7_a1
ER  - 
%0 Journal Article
%A E. M. Maleko
%T On the computation of the spectrum of directionally perturbed operators
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2010
%P 1179-1199
%V 50
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a1/
%G ru
%F ZVMMF_2010_50_7_a1
E. M. Maleko. On the computation of the spectrum of directionally perturbed operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1179-1199. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a1/

[1] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii: funktsii Besselya, funktsii parabolicheskogo tsilindra, ortogonalnye mnogochleny, Nauka, M., 1974

[2] Maleko E. M., “O predstavlenii operatora s zaranee zadannoi sobstvennoi funktsiei”, Vestn. MaGU. Ser. matem., 9, MaGU, Magnitogorsk, 2006, 64–69 | Zbl

[3] Naimark M. A., Lineinye differentsialnye operatory, Gostekhteorizdat, M., 1954

[4] Maleko E. M., K vychisleniyu spektra diskretnykh i napravlenno vozmuschennykh operatorov, monografiya, MaGU, Magnitogorsk, 2007