Geodesic
On the index of multidimensional integral operators with bihomogeneous kernels and variable coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2005), pp. 3-12.

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O. G. Avsyankin; V. M. Deundyak. On the index of multidimensional integral operators with bihomogeneous kernels and variable coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2005), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2005_3_a0/

[1] Mikhailov L.G., “Novyi klass osobykh integralnykh uravnenii”, Math. Nachr., 76 (1977), 91–107 | DOI

[2] Avsyankin O.G., Karapetyants N.K., “Mnogomernye integralnye operatory s odnorodnymi stepeni $(-n)$ yadrami”, Dokl. RAN, 368:6 (1999), 727–729 | MR | Zbl

[3] Avsyankin O.G., Karapetyants N.K., “Ob algebre mnogomernykh integralnykh operatorov s odnorodnymi yadrami s peremennymi koeffitsientami”, Izv. vuzov. Matematika, 2001, no. 1, 3–10 | MR | Zbl

[4] Karapetiants N., Samko S., Equations with involutive operators, Birkhäuser, Boston–Basel–Berlin, 2001, 427 pp. | MR | Zbl

[5] Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Metody teorii gomologii, Nauka, M., 1984, 343 pp. | MR

[6] Gokhberg I.Ts., Feldman I.A., Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Nauka, M., 1971, 352 pp. | MR

[7] Shvarts A.S., “K gomotopicheskoi topologii banakhovykh prostranstv”, DAN SSSR, 154:1 (1964), 61–63 | Zbl

[8] Douglas R., Howe R., “On the $C^*$-algebra of Toeplitz operators on the quarter-plane”, Trans. Amer. Math. Soc., 158:1 (1971), 203–217 | DOI | MR | Zbl

[9] Kash F., Moduli i koltsa, Mir, M., 1981, 368 pp. | MR

[10] Coburn L.A., Douglas R.G., Singer I.M., “On index theorem on the discrete quarter-plane”, J. Diff. Geom., 1972, no. 4, 587–593 | MR | Zbl

[11] Deundyak V.M., “Gomotopicheskie svoistva mnozhestva neterovykh elementov $C^*$-algebry mnogomernykh obobschennykh teplitsevykh operatorov”, Funkts. analiz i ego pril., 14:3 (1980), 79–80 | MR | Zbl

[12] Deundyak V.M., “Gomotopicheskaya klassifikatsiya i vychislenie indeksa semeistv mnogomernykh bisingulyarnykh integralnykh operatorov”, Izv. vuzov. Matematika, 1996, no. 4, 34–47 | MR

[13] Samko S.G., Gipersingulyarnye integraly i ikh prilozheniya, Izd-vo Rostovsk. un-ta, 1984, 208 pp. | MR | Zbl

[14] Avsyankin O.G., Deundyak V.M., Mnogomernye biodnorodnye integralnye operatory, Dep. v VINITI 23.01.2002, No 120-B2002, 23 pp.