Geodesic
Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula
Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 4, pp. 45-56.

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

@article{FAA_1992_26_4_a3,
     author = {B. A. Plamenevskii and G. V. Rozenblum},
     title = {Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {45--56},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1992_26_4_a3/}
}
TY  - JOUR
AU  - B. A. Plamenevskii
AU  - G. V. Rozenblum
TI  - Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1992
SP  - 45
EP  - 56
VL  - 26
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1992_26_4_a3/
LA  - ru
ID  - FAA_1992_26_4_a3
ER  - 
%0 Journal Article
%A B. A. Plamenevskii
%A G. V. Rozenblum
%T Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1992
%P 45-56
%V 26
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1992_26_4_a3/
%G ru
%F FAA_1992_26_4_a3
B. A. Plamenevskii; G. V. Rozenblum. Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula. Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 4, pp. 45-56. http://geodesic.mathdoc.fr/item/FAA_1992_26_4_a3/

[1] Cannes A., “Nonncommutative differential geometry”, Publ. Math. IHES, 62 (1986), 257–360 | MR

[2] Cannes A., Caroubi M., “Caractere multiplicatif d'un module de Fredholm”, $K$-Theory, 2 (1988), 431–463 | DOI | MR

[3] Plamenevskii B.A., Rozenblyum G.V., “Ob indekse psevdodifferentsialnykh oneratorov s izolirovannymi osobennostyami v simvolakh”, Algebra i analiz, 2:5 (1990), 165–188 | MR

[4] Plamenevskii B.A., Rozenblyum G.V., “Topologicheskie kharakteristiki algebry singulyarnykh integralnykh operatorov s razryvnymi simvolami na okruzhnosti”, Algebra i analiz, 3:5 (1991), 155–167 | MR

[5] Plamenevskii B.A., Algebry psevdodifferentsialnykh operatorov, Nauka, M., 1986 | MR

[6] Plamenevskii B.A., Senichkin V.N., “O spektre $S^*$-algebr, porozhdennykh psevdodifferentsialnymi operatorami s razryvnymi simvolami”, Izv. AN SSSR. Ser. matem., 47:6 (1983), 1263–1284 | MR | Zbl

[7] Blackadar V., $K$-theory for Operator Algebras, MSRI Series, Springer, N.Y, 1986 | MR | Zbl

[8] Fedosov B.V., “Analiticheskie formuly indeksa ellipticheskikh operatorov”, Tr. Mosk. mat. ob-va, 30, 1974, 159–242 | MR

[9] Khermander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, t. 3, Mir, M., 1987 | MR

[10] Atya M.F., Zinger I.M., “Indeks ellipticheskikh operatorov na kompaktnykh mnogoobraziyakh. I”, UMN, 23:5 (1968), 99–142 | MR

[11] Kasparov G.G., “Operatornaya $K$-teoriya i ee prilozheniya”, Itogi nauki i tekhniki. Ser. Sovrem. probl. mat. Noveishie dostizh., 27, VINITI, 1985, 3–31 | MR

[12] Karoubi M., Homologie cyclique et $K$-theorie, Asterisque, 149, 1987 | MR | Zbl

[13] Gokhberg I.Ts., Krein M.G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965