The decomposition of L 2 ( Γ G )

Stephen Gelbart

Séminaire Choquet. Initiation à l'analyse (1971-1973)

  • Volume: 11-12, page 1-10

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Gelbart, Stephen. "The decomposition of $L^2 (\Gamma \backslash G)$." Séminaire Choquet. Initiation à l'analyse 11-12 (1971-1973): 1-10. <http://eudml.org/doc/110488>.

@article{Gelbart1971-1973,
author = {Gelbart, Stephen},
journal = {Séminaire Choquet. Initiation à l'analyse},
language = {eng},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {The decomposition of $L^2 (\Gamma \backslash G)$},
url = {http://eudml.org/doc/110488},
volume = {11-12},
year = {1971-1973},
}

TY - JOUR
AU - Gelbart, Stephen
TI - The decomposition of $L^2 (\Gamma \backslash G)$
JO - Séminaire Choquet. Initiation à l'analyse
PY - 1971-1973
PB - Secrétariat mathématique
VL - 11-12
SP - 1
EP - 10
LA - eng
UR - http://eudml.org/doc/110488
ER -

References

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  1. [1] Dixmier ( J.). - Les C*-algèbres et leurs représentations. - Paris, Gauthier-Villars, 1964 (Cahiers scientifiques, 29). Zbl0152.32902MR171173
  2. [2] Gelbart ( S.). - Introduction to the theory of group representations, Séminaire Choquet : Initiation à l'analyse, 11e année, 1971/72, n° 3, 7 p. Zbl0322.22008MR473086
  3. [3] Gel'Fand ( I.M.) and Pjateckij-Šapiro ( I.I.). - Unitary representations in the space G/Γ where G is the group of real matrices of order n , and Γ the subgroup of integral matrices, Doklady Akad. Nauk SSSR, t. 147, 1962, p. 275-278. Zbl0119.27101
  4. [4] Gel'Fand ( I.M.), Graev ( M.I.) and Pjateckij-Šapiro ( I.I.). - Representation theory and automorphic functions. - Philadelphia, W. B. Saunders Company, 1969 (Saunders Mathematics Books). Zbl0177.18003MR233772
  5. [5] Godement ( R.). - The decomposition of L2(G/Γ) for Γ = SL(2 , Z) , Algegroups and discontinuous subgroups. - Providence, American mathematical Society, 1966 (Proceedings of Symposia in pure Mathematics, 9). Zbl0203.43902
  6. [6] Gunning ( R.). - Lectures on modular forms. - Princeton, Princeton University Press, 1962 (Annals of Mathematics Studios, 48). Zbl0178.42901MR132828
  7. [7] Jacquet ( H.) and Langlands ( R.P.). - Automorphic forms on GL(2). - Berlin, Springer-Verlag, 1970 (Lecture Notes in Mathematics, 114). Zbl0236.12010MR401654
  8. [8] Maass ( H.). - Lectures on modular functions of one complex variable. - Bombay, Tata Institute, 1964 (Tata Institute of fundamental Research. Lectures on Mathematics, 29). Zbl0254.10018MR218305
  9. [9] Ogg ( A.P.). - Modular forms and Dirichlet series. - New York, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). Zbl0191.38101MR256993
  10. [10] Selberg ( A.). - Harmonic analysis and discrete groups in weakly symmetric Riemannian spaces, with applications to Dirichlet series, J. Indian math. Soc., t. 20, 1956, p. 47-87. Zbl0072.08201MR88511
  11. [11] Weil ( A.). - Dirichlet series and automorphic forms. - Berlin, Springer-Verlag, 1971 (Lecture Notes in Mathematics, 189). Zbl0218.10046

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