Geodesic
On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2000), pp. 68-71.

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

@article{IVM_2000_5_a9,
     author = {G. Yu. Vinogradova and K. A. Georgiev and V. M. Deundyak},
     title = {On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--71},
     publisher = {mathdoc},
     number = {5},
     year = {2000},
     language = {ru},
     url = {https://geodesic-test.mathdoc.fr/item/IVM_2000_5_a9/}
}
TY  - JOUR
AU  - G. Yu. Vinogradova
AU  - K. A. Georgiev
AU  - V. M. Deundyak
TI  - On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2000
SP  - 68
EP  - 71
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/IVM_2000_5_a9/
LA  - ru
ID  - IVM_2000_5_a9
ER  - 
%0 Journal Article
%A G. Yu. Vinogradova
%A K. A. Georgiev
%A V. M. Deundyak
%T On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2000
%P 68-71
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/IVM_2000_5_a9/
%G ru
%F IVM_2000_5_a9
G. Yu. Vinogradova; K. A. Georgiev; V. M. Deundyak. On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2000), pp. 68-71. https://geodesic-test.mathdoc.fr/item/IVM_2000_5_a9/

[1] Karapetyants N. K., Samko S. G., Uravneniya s involyutivnymi operatorami i ikh prilozheniya, Izd-vo RGU, Rostov-na-Donu, 1988, 188 pp. | MR | Zbl

[2] Antonevich A. B., Lineinye funktsionalnye uravneniya. Operatornyi podkhod, Izd-vo Universitetskoe, Minsk, 1988, 230 pp. | MR | Zbl

[3] Chin Ngok Min, Simonenko I. B., “Ob indekse i gomotopicheskoi klassifikatsii semeistv singulyarnykh integralnykh operatorov so sdvigom Karlemana”, DAN SSSR, 263:5 (1980), 1070–1073 | MR

[4] Deundyak V. M., Zolotykh A. E., “O strukture algebry singulyarnykh integralnykh operatorov s razryvnymi koeffitsientami i konechnoi gruppoi sdvigov”, Differents. i integral. uravneniya i kompleksnyi analiz, Elista, 1993, 25–35

[5] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1984, 469 pp. | MR | Zbl

[6] Georgiev K. A., Deundyak V. M., “Struktura algebr singulyarnykh integralnykh operatorov v vesovykh $L_p$-prostranstvakh na okruzhnosti”, Izv. vuzov. Matematika, 1993, no. 2, 84–87 | MR | Zbl

[7] Georgiev K. A., Deundyak V. M., “Obobschenie formuly Gokhberga–Krupnika dlya vzveshennogo singulyarnogo operatora Koshi na sluchai obschikh koeffitsientov i vesov”, Differents. i integral. uravneniya, analiz i algebra, Elista, 1996, 80–85

[8] Gokhberg I. Ts., Krupnik N. Ya., “O singulyarnykh integralnykh uravneniyakh s neogranichennymi koeffitsientami”, Matem. issled., 5, No 3, Kishinev, 1970, 46–57 | Zbl

[9] Simonenko I. B., Chin Ngok Min, Lokalnyi metod v teorii odnomernykh singulyarnykh uravnenii s kusochno-nepreryvnymi koeffitsientami. Neterovost, Izd-vo RGU, Rostov-na-Donu, 1986, 65 pp.

[10] Deundyak V. M., Simonenko I. B., Chin Ngok Min, “Simvoly i gomotopicheskaya klassifikatsiya semeistv odnomernykh singulyarnykh operatorov s kusochno–nepreryvnymi koeffitsientami”, Izv. vuzov. Matematika, 1988, no. 12, 17–27 | MR | Zbl

[11] Deundyak V. M., “O gomotopicheskikh svoistvakh prostranstva obratimykh matrichnykh singulyarnykh operatorov s kusochno-nepreryvnymi koeffitsientami”, Soobsch. AN Gruz. SSR, 131:3 (1988), 481–484 | MR | Zbl