On the Discrete Spectrum of the Nonanalytic Matrix-Valued Friedrichs Model
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 1, pp. 63-65.

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

@article{FAA_1998_32_1_a6,
     author = {I. A. Ikromov and F. Sharipov},
     title = {On the {Discrete} {Spectrum} of the {Nonanalytic} {Matrix-Valued} {Friedrichs} {Model}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {63--65},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_1_a6/}
}
TY  - JOUR
AU  - I. A. Ikromov
AU  - F. Sharipov
TI  - On the Discrete Spectrum of the Nonanalytic Matrix-Valued Friedrichs Model
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1998
SP  - 63
EP  - 65
VL  - 32
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1998_32_1_a6/
LA  - ru
ID  - FAA_1998_32_1_a6
ER  - 
%0 Journal Article
%A I. A. Ikromov
%A F. Sharipov
%T On the Discrete Spectrum of the Nonanalytic Matrix-Valued Friedrichs Model
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1998
%P 63-65
%V 32
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1998_32_1_a6/
%G ru
%F FAA_1998_32_1_a6
I. A. Ikromov; F. Sharipov. On the Discrete Spectrum of the Nonanalytic Matrix-Valued Friedrichs Model. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 1, pp. 63-65. http://geodesic.mathdoc.fr/item/FAA_1998_32_1_a6/

[1] Friedrichs K., “Uber die Spektralzerlegung eines Integraloperators”, Math. Ann., 115 (1938), 249–272 | DOI | MR | Zbl

[2] Friedrichs K., “On the perturbation of continuous spectra”, Comm. Pure Appl. Math., 1 (1948), 361–406 | DOI | MR | Zbl

[3] Ladyzhenskaya O. A., Faddeev L. D., Dokl. AN SSSR, 145:2 (1962), 301–304

[4] Faddeev L. D., Trudy MIAN SSSR, 73, 1964, 292–313 | MR | Zbl

[5] Pavlov B. S., Petras C. V., “O singulyarnom spektre slabo vozmuschennogo operatora umnozheniya”, Funkts. analiz i ego pril., 4:2 (1970), 54–61 | MR | Zbl

[6] Lakaev S. N., “Discrete spectrum of operator valued Friedrichs models”, Comm. Math. Univ. Carolinae, 27 (1986), 341–357 | MR

[7] Lakaev S. N., Dokl. AN UzSSR, 1979, no. 4, 9–10 | MR | Zbl

[8] Dynkin E. M., Naboko S. N., Yakovlev S. I., Algebra i analiz, 3:2 (1991), 77–90 | MR

[9] Abdullaev Zh. I., Lakaev S. N., “On the spectral properties of the matrix-valued Friedrichs model”, Many-particle Hamiltonians: spectra and scattering, Advances in Soviet Math., 5, Amer. Math. Soc., Providence, RI, 1991, 1–37 | MR

[10] Minlos R. A., Mogilner A. I., “Some problems concerning spectra of lattice models”, Schrödinger Operators, Standard and Nonstandard (Dubna (USSR), 1988), eds. P. Exner, P. Seba, World Sci. Publ., Singapore, 1989, 243–257 | MR

[11] Mamatov Sh. S., Minlos R. A., Teor. matem. fiz., 79 (1989), 163–180 | MR

[12] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. T. 4. Analiz operatorov, Mir, M., 1982 | MR

[13] Malgranzh B., Idealy differentsiruemykh funktsii, Mir, M., 1968