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Gel′fand's problem on unitary representations associated with discrete subgroups of ${\text{PSL}}_2 ({\mathbf{R}})$
Author(s):
Toshikazu
Sunada
Journal:
Bull. Amer. Math. Soc.
12
(1985),
237-238.
MSC (1980):
Primary 22E40, 22D10;
Secondary 22E46, 20H10, 22D30
MathSciNet review:
776476
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References:
- 1.
- F. Bruhat, Sur les representations induits des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97-205. MR 84713
- 2.
- I. M. Gel'fand, Automorphic functions and the theory of representations, Proc. Internat. Congress Math. (Stockholm, 1962), pp. 74-85. MR 175997
- 3.
- I. M. Gel'fand, M. I. Graev and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, Saunders, Philadephia, 1969. MR 233772
- 4.
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- 5.
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- 6.
- G. A. Margoulis, Discrete groups of isometries of manifolds of nonpositive curvature, Proc. Internat. Congress Math. (Vancouver, 1974), Vol. 2, pp. 24-34.
- 7.
- R. Perlis, On the equation ζ, J. Number Theory 9 (1977), 342-260. MR 447188
- 8.
- T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. (to appear). MR 782558
- 9.
- K. Takeuchi, Arithmetic Fuchsian groups with signature (l, e), J. Math. Soc. Japan 35 (1983), 381-407. MR 702765
- 10.
- M.-F. Vignéras, Examples de sous-groupes discrets no-conjugués de PSL(2, R) qui ont même la fonction zêta de Selberg, C. R. Acad. Sci. Paris Sér A-B 287 (1978), 47-49. MR 491604
- 11.
- M.-F. Vignéras, Variétés riemanniennes isospectrales et nonisometriques, Ann. of Math. (2) 112 (1980), 21-32. MR 584073
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15358-3
PII:
S 0273-0979(1985)15358-3
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