On Selberg's trace formula

Ramesh GANGOLLI; Garth WARNER

doi:10.2969/jmsj/02720328

Ramesh GANGOLLI, Garth WARNER

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1975 Volume 27 Issue 2 Pages 328-343

DOI https://doi.org/10.2969/jmsj/02720328

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Published: 1975 Received: September 12, 1972 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] R. Gangolli, Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces, Acta Math., 121 (1968), 151-192.
[2] H. Garland, Arithmetic subgroups and boundary behaviour of associated harmonic forms (Manuscript).
[3] I. M. Gelfand, et al., Representation theory and automorphic forms, W. B. Saunders Co., Philadelphia, 1969.
[4] S. Gindikin and F. Karpelevic, Plancherel measure of Riemannian symmetric spaces of non-positive curvature, Dokl. Akad. Nauk. SSSR, 145 (1962), 252-255.
[5] Harish-Chandra, Spherical functions on a semi-simple Lie group I, Amer. J. Math., 80 (1958), 241-310.
[6] Harish-Chandra, Discrete series for semi-simple Lie groups II, Acta Math., 116 (1966), 1-111.
[7] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
[8] S. Helgason and K. Johnson, The bounded spherical functions on symmetric spaces, Advances in Math., 3 (1969), 586-593.
[9] R. P. Langlands, The dimension of spaces of automorphic forms, Amer. J. Math., 85 (1963), 99-125.
[10] A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc., 20 (1956), 47-87.
[11] T. Tamagawa, On Selberg's trace formula, J. Fac. Sci., Univ. Tokyo, 8 (1960), 363-386.
[12] P. Trombi and V. Varadarajan, Spherical transforms on semisimple Lie groups, Ann. of Math., 74 (1971), 243-303.

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