Bulletin of the American Mathematical Society

Author(s): Nolan R. Wallach
Journal: Bull. Amer. Math. Soc. 82 (1976), 171-195.
MSC (1970): Primary 10D20, 22E40, 43A15
MathSciNet review: 0404533
Retrieve article in: PDF

1.: J. Arthur, The trace formula for groups of Q-rank 1, Ann. of Math. (to appear). MR 723181
2.: A. Borel, Introduction to automorphic forms, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R.I., 1966, pp. 199-210. MR 34 #7465. MR 207650
3.: A. Borel, Introduction aux groupes arithmétiques, Publ. Inst. Math. Univ. Strasbourg, XV, Actualités Sci. Indust., no. 1341, Hermann, Paris, 1969. Mr 39 #5577. MR 244260
4.: M. Duflo and J-P. Labesse, Sur la formule des traces de Selberg, Ann. Sci. École Norm. Sup. (4) 4 (1971), 193-284. MR 437462
5.: N. Dunford and J. Schwartz, Linear operators. Vol. 3, Interscience, New York, 1972.
6.: R. Gangolli, Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces, Acta Math. 121 (1968), 151-192. MR 39 #360. MR 239000
7.: R. Gangolli, On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups, Ann. of Math. (2) 93 (1971), 150-165. MR 44 #6912. MR 289724
8.: I. M. Gel'fand, Automorphic functions and the theory of representations, Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Inst. Mittag-Leffler, Djursholm, 1963, pp. 74-85. MR 31 #273. MR 175997
9.: M. I. Gel'fand, M. I. Graev, and I. I. Pjateckiĭ-Šhapiro, Generalized functions. Vol. 6: Theory of representations and automorphic functions, "Nauka", Moscow, 1966; English transl., Saunders, Philadelphia, Pa., 1969. MR 36 #3725; 38 #2093. MR 220673
10.: Harish-Chandra, Representations of semi-simple Lie groups. VI. Integrable and squareintegrable representations, Amer. J. Math. 78 (1956), 564-628. MR 18, 490. MR 82056
11.: Harish-Chandra, Spherical functions on a semi-simple Lie group. I, II, Amer. J. Math. 80 (1958), 241-310, 553-613. MR 20 #925; 21 #92.
12.: Harish-Chandra, Automorphic forms on semi-simple Lie groups, Lecture Notes in Math., no. 62, Springer-Verlag, New York and Berlin, 1968. MR 38 #1216.
13.: Harish-Chandra, Discrete series for semi-simple Lie Groups. II. Explicit determination of the characters, Acta Math. 116 (1966), 1-111. MR 36 #2745. MR 219666
14.: Harish-Chandra, On the theory of the Eisenstein integral, Conf. on Harmonic Analysis (College Park, Md., 1971), Lecture Notes in Math., vol. 266, Springer-Verlag, Berlin and New York, 1972. MR 399355
15.: S. Helgason, Differential geometry and symmetric spaces, Pure and Appl. Math., vol. 12, Academic Press, New York and London, 1962. MR 26 #2986. MR 145455
16.: S. Helgason, An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces, Math. Ann. 165 (1966), 297-308. MR 36 #6545. MR 223497
17.: R. Hotta and R. Parthasarathy, Multiplicity formulae for discrete series, Invent. Math. 26 (1974), 133-178. MR 348041
18.: R. Hotta and N. R. Wallach, On Matsushima formula for the Betti numbers of a locally symmetric space, Osaka J. Math. (to appear). MR 379756
19.: K. Johnson, Paley-Wiener theorems for rank one groups (to appear).
20.: H. Johnson and N. R. Wallach, Intertwining operators and composition series for the spherical principal series. I, Trans. Amer. Math. Soc. (to appear).
21.: D. A. Kazdan, Connection of the dual space of a group and the structure of its closed subgroups, Funkcional. Anal. i Priložen. 1 (1967), no. 1, 71-74-Functional Anal. Appl. 1 (1967), 63-65. MR 35 #288. MR 209390
22.: A. W. Knapp and E. M. Stein, Intertwining operators for semi-simple Lie groups, Ann. of Math. (2) 93 (1971), 489-578. MR 460543
23.: S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. II, Interscience Tracts in Pure and Appl. Math., no. 15, Interscience, New York and London, 1969. MR 38 #6501. MR 238225
24.: B. Kostant, On the existence and irreducibility of certain series of representations. Bull. Amer. Math. Soc. 75 (1969), 627-642. MR 39 #7031. MR 245725
25.: R. P. Langlands, Dimension of spaces of automorphic forms, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R. I., 1966, pp. 253-257. MR 35 #3010. MR 212135
26.: Y. Matsushima, On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces, Ann. of Math. (2) 75 (1962), 312-330. MR 28 #1629. MR 158406
27.: Y. Matsushima, A formula for the Betti numbers of compact locally symmetric Riemannian manifolds, J. Differential Geometry 1 (1967), 99-109. MR 36 #5958. MR 222908
28.: H. P. McKean, Jr. and I. M. Singer, Curvature and the eigenvalues of the Laplacian, J. Differential Geometry, 1 (1967), no. 1, 43-69. MR 36 #828. MR 217739
29.: G. D. Mostow, Strong rigidity for locally symmetric spaces, Ann. of Math. Studies, no. 78, Princeton Univ. Press, Princeton, N.J., 1973. MR 385004
30.: M. Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 68, Springer-Verlag, Berlin, 1972. MR 507234
31.: P. J. Sally, Jr., Analytic continuation of the irreducible unitary representations of the universal covering group of SL(2, R), Mem. Amer. Math. Soc. No. 69 (1967). MR 38 #3380. MR 235068
32.: W. Schmid, On a conjecture of Langlands, Ann. of Math. (2) 93 (1971), 1-42. MR 286942
33.: J.-P. Serre, Cohomologie des groupes discrets, Prospects in Mathematics, Princeton Univ. Press, Princeton, N.J., 1971. MR 385006
34.: È. B. Vinberg, Some examples of crystallographic groups on Lobačevskiĭ spaces, Mat. Sb. 78 (120) (1969), 633-639 = Math. USSR Sb 7 (1969), 617-622. MR 39 #7497. MR 246193
35.: N. R. Wallach, Harmonic analysis on homogeneous spaces, Dekker, New York, 1973. MR 498996
36.: N. R. Wallach, On an asymptotic formula of Gelfand and Gangolli for the spectrum of Γ\G, J. Differential Geometry (to appear). MR 417340
37.: G. Warner, Harmonic analysis on semi-simple Lie groups. II, Die Grundlehren der math. Wissenschaften, vol. 189, Springer-Verlag, Berlin, 1972. MR 498999
38.: E. T. Whittaker and G. N. Watson, A course of modern analysis, 4th ed., Cambridge Univ. Press, Cambridge, 1927. MR 1424469
39.: J. A. Morrow and K. Kodaira, Complex manifolds, Holt, Rinehart and Winston, New York, 1971. MR 302937

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 10D20, 22E40, 43A15

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1936-881X(e) ISSN 0002-9904(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS