@article{RM_1968_23_1_a5,
author = {F. Hirzebruch},
title = {Elliptic differential operators manifolds},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
year = {1968},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/RM_1968_23_1_a5/}
}
F. Hirzebruch. Elliptic differential operators manifolds. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 23 (1968) no. 1. http://geodesic.mathdoc.fr/item/RM_1968_23_1_a5/
[1] M. S. Agranovich, “K voprosu ob indekse ellipticheskogo operatora”, DAN, 142:5 (1962), 983–985 | Zbl
[2] M. F. Atiyah, R. Bott, “The index problem for manifolds with boundary”, Bombay Colloquium on Differential Analysis, 1964, 175–186 | MR | Zbl
[3] M. F. Atiyah, R. Bott, Notes on the Lefschetz fixed point theorem for elliptic complexes, Harvard University, 1964/65 | Zbl
[4] M. F. Atiya, R. Bott, “Zametki o teoreme Lefshetsa o nepodvizhnoi tochke”, Sb. perevodov: Matem., 10:7 (1966), 101–139
[5] M. F. Atiyah, G. B. Segal, Equivariant $K$-theory, Notes by R. L. E. Schwarzenberger, University of Warwick, Conventry, 1965
[6] M. F. Atiya, I. M. Zinger, “Indeks ellipticheskikh operatorov na kompaktnykh mnogoobraziyakh”, Sb. perevodov: Matem., 10:3 (1966), 29–38
[7] A. Borel, “Les fonctions automorphes de plusiurs variables complexes”, Bull. soc. math. France, 80 (1952), 167–182 | MR | Zbl
[8] A. Borel, “Compact Clifford-Klein forms of symmetric spaces”, Topology, 2 (1963), 111–122 | DOI | MR | Zbl
[9] E. Cartan, “Sur les domaines bornes homogenes de l'espace de $n$ variables complexes”, Abh. Math. Seminar Hamburg, 11 (1935), 116–162 | DOI
[10] H. Cartan, L. Schwarz, “Le theoreme d'Atiyah–Singer”, Seminaire E.N.S., 1963/64, Paris, 1964
[11] P. Dombrowski, “On the geometry of the tangent bundle”, Journ. reine angew. Math., 210 (1962), 73–88 | MR | Zbl
[12] A. S. Dynin, “Mnogomernye ellipticheskie kraevye zadachi s odnoi funktsiei”, DAN, 141:2 (1961), 285–287 | MR | Zbl
[13] M. Eichler, Einführung in die Theorie der algebraischen Zahlen und Funktionen, Birkhäuser-Verlag, Basel–Stuttgart, 1963 | MR | Zbl
[14] F. Erwe, Differential-und Integralrechnung, Zweiter Band, Bibliographisches Institut, Mannheim, 1962 | Zbl
[15] I. M. Gelfand, “Ob ellipticheskikh uravneniyakh”, UMN, 15:3 (1960), 121–132 | MR | Zbl
[16] S. Khelgason, Differentsialnaya geometriya i simmetricheskie prostranstva, «Mir», M., 1964 | Zbl
[17] F. Hirzebruch, “Some problems of differentiable and complex manifolds”, Ann. of Math., 60 (1954), 213–236 | DOI | MR | Zbl
[18] F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Springer Verlag, Berlin–Göttingen–Heidelberg, 1956 ; Topological Methods in Algebraic Geometry, 3. Augl., Springer-Verlag, 1966 | MR | Zbl
[19] F. Hirzebruch, “Automorphe Formen und der Satz von Riemann - Roch”, Symp. Intern. Top. Alg. (1956), Universidad de Mexico, 1958, 129–144 | MR
[20] H. Hopf, “Eine Verallgemeinerung der Euler-Poincareschen Formel”, Nachr. Ges. d. Wiss. Göttingen, Math. Phys. Kl., 1928; Selecta Heinz Hopf, Springer-Verlag, 1964
[21] K. Kodaira, “O differentsialno-geometricheskom metode v teorii analiticheskikh puchkov”, Sb. perevodov: Matem., 2:6 (1958), 126–131 | MR
[22] S. Leng, Vvedenie v teoriyu differentsiruemykh mnogoobrazii, «Mir», M., 1967
[23] R. P. Langlands, “The dimension of spaces of holomorphic forms”, Amer. Journ. Math., 85 (1963), 99–125 | DOI | MR | Zbl
[24] S. Lefschetz, “Intersections and transformations of complexes and manifolds”, Trans. Amer. Math. Soc., 28 (1926), 1–49 | DOI | MR | Zbl
[25] W. Maak, Differential- und Integralrechnung, Vandenhoeck und Ruprecht, Göttingen, 1960 | MR | Zbl
[26] R. S. Palais, Seminar on the Atiyah-Singer index theorem, with contributions by A. Borel, F. E. Browder and R. Solovay, Ann. of Math. Studies, 57, Princeton University Press, 1965 | MR
[27] A. Selberg, “Automorphic functions and integral operators”, Seminars on analytic functions, vol. 2, Institute for Advanced Study, Princeton, 1957
[28] A. I. Volpert, “Ob indekse sistem dvumernykh singulyarnykh integralnykh uravnenii”, DAN, 142:4 (1962), 776–777 | MR
[29] A. I. Volpert, “Ellipticheskie sistemy na sfere i dvumernye singulyarnye integralnye uravneniya”, Matem. sb., 59 (101), dopoln. vyp. (1962), 195–214 | MR
[30] K. Weierstraß, Vorlesungen über die Theorie der Abelschen Transcendenten, z. B. Wintersemester 1873/74, Berlin; Math. Werke, 4 Band, Mayer und Müller, Berlin, 1902, Neuntes Kapitel | Zbl
[31] A. Dold, “Fixed point index and fixed point theorem for Euclidean neighborhood retracts”, Topology, 4 (1965), 1–8 | DOI | MR | Zbl