@article{RM_1968_23_5_a6,
author = {M. F. Atiyah and I. M. Singer},
title = {The index of elliptic {operators.~I}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
year = {1968},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/RM_1968_23_5_a6/}
}
M. F. Atiyah; I. M. Singer. The index of elliptic operators. I. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 23 (1968) no. 5. http://geodesic.mathdoc.fr/item/RM_1968_23_5_a6/
[1] M. F. Atya, Lektsii po $K$-teorii, «Mir», M., 1967 | MR
[2] M. F. Atiyah, “Algebraic topology and elliptic operators”, Comm. Pure Appl. Math., 20 (1967), 237–249 | MR | Zbl
[3] M. F. Atiyah, “Bott periodicity and the index of elliptic operators”, Quart. J. of Math. (Oxford) (to appear)
[4] M. F. Atiyah, R. Bott, “A Lefschetz fixed point formula for elliptic complexes, I”, Ann. of Math., 86 (1967), 374–407 | DOI | MR | Zbl
[5] M. F. Atiyah, R. Bott, “The index theorem for manifolds with boundary”, Differential Analysis, Proc. Bombay Symposium, Oxford, 1964
[6] M. F. Atya, R. Bott, “Indeks ellipticheskikh operatorov na kompaktnykh mnogoobraziyakh”, Sb. Matematika, 10:3 (1966)
[7] F. Khirtsebrukh, “Ellipticheskie differentsialnye operatory na mnogoobraziyakh”, UMN, 23:1 (1968), 191–209 | MR
[8] L. Khermander, Lineinye differentsialnye operatory s chastnymi proizvodnymi, «Mir», M., 1965 | MR
[9] L. Khermander, “Psevdodifferentsialnye operatory”, Psevdodifferentsialnye operatory, Sb., «Mir», M., 1967 | MR
[10] L. Hörmander, “Pseudo-differential operators and hypoelliptic equations”, Amer. Math. Symposia in Pure Mathem., 10 (to appear) ; Psevdodifferentsialnye operatory, Sb., «Mir», M., 1967 | MR | MR
[11] Dzh. Dzh. Kon, L. Nirenberg, “Algebra psevdodifferentsialnykh operatorov”, Psevdodifferentsialnye operatory, Sb., «Mir», M., 1967 | MR
[12] R. P. Langlands, “The dimension of spaces of holomorphic forms”, Amer. Journ Math., 85 (1963), 99–125 | DOI | MR | Zbl
[13] R. Palais, “Imbedding of compact differentiable transformation groups in orthogonal representations”, J. of Math. and Mech., 6 (1957), 673–678 | MR | Zbl
[14] R. Palais, Seminar of Atiyah-Singer index theorem, Ann. of Math. Study, 57, Princeton, 1965, gotovitsya russkii perevod | MR
[15] R. T. Sili, “Integrodifferentsialnye operatory na vektornykh rassloeniyakh”, Sb. Matematika, 11:2 (1967)
[16] G. B. Segal, “Equivariant $K$-theory”, Publ. Math. IHES