Analyse spectrale des fonctions modulaires

Roger Godement

Séminaire Bourbaki (1964-1966)

  • Volume: 9, page 15-40
  • ISSN: 0303-1179

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Godement, Roger. "Analyse spectrale des fonctions modulaires." Séminaire Bourbaki 9 (1964-1966): 15-40. <http://eudml.org/doc/109688>.

@article{Godement1964-1966,
author = {Godement, Roger},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {15-40},
publisher = {Société Mathématique de France},
title = {Analyse spectrale des fonctions modulaires},
url = {http://eudml.org/doc/109688},
volume = {9},
year = {1964-1966},
}

TY - JOUR
AU - Godement, Roger
TI - Analyse spectrale des fonctions modulaires
JO - Séminaire Bourbaki
PY - 1964-1966
PB - Société Mathématique de France
VL - 9
SP - 15
EP - 40
LA - fre
UR - http://eudml.org/doc/109688
ER -

References

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  1. [1] Gel'fand ( I.M.), Graev ( M.I.) i Pjateckij-Šapiro ( I.I.). - Predstavlenija grupp adelej, Doklady Akad. Nauk SSSR, t. 156, 1964, p. 487-490 ; Representations of adele groups, Soviet Math., t. 5, 1964, p. 657-661. Zbl0133.29403MR164946
  2. [2] Gel'fand ( I.M.) i Pjateckij-Šapiro ( I.I.). - Avtomorphnye funkcij i teorija predstavlenij, Trudy Moskovsk. Matem. Obščestva, t. 12, 1963, p. 389-412. Zbl0136.07301MR159899
  3. [3] Godement ( Roger) . - Sur la théorie des représentations unitaires, Annals of Math., t. 53, 1951, p. 68-124. Zbl0042.34606MR38571
  4. [4] Godement ( Roger) . - Domaines fondamentaux des groupes arithmétiques, Séminaire Bourbaki, 15e année, 1962/63, n° 257, 25 p. Zbl0136.30101MR191899
  5. [5] Godement ( Roger). - The spectral decomposition of cusp-forms, Proceedings of the 1965 Summer institute on algebraic groups and discontinuous groups, p. 207-216 (à paraître). Zbl0172.18503MR210828
  6. [6] Hecke ( E. ) . - Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik, Abh. math. Semin. Hamburg Univ., t. 5, 1927, p. 199-224. Zbl53.0345.02JFM53.0345.02
  7. [7] Landau ( E.). - Handbuch der Lehre von der Verteilung der Primzahlen. - New York, Chelsea publishing Comp., 1953. Zbl0051.28007MR68565
  8. [8] Lang ( Serge). - Algebraic numbers. - Reading, Addison-Wesley publ. Comp., 1964. Zbl0211.38501MR160763
  9. [9] Langlands ( R.). - On the functional equations satisfied by Eisenstein series (à paraître). Zbl0332.10018
  10. [10] Langlands ( R.). - Eisenstein series, Proceedings of the 1965 Summer institute on algebraic groups and discontinuous groups (à paraître). Zbl0204.09603MR249539
  11. [11] Maas ( H.). - Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Annalen, t. 121, 1949, p. 141-183. Zbl0033.11702MR31519
  12. [12] Maas ( H.). - Lectures on modular functions of one complex variable. - Bombay, Tata Institute, 1964 (Tata Institute of fundamental Research, Lectures on Mathematics, 29). Zbl0254.10018MR218305
  13. [13] Roelcke ( W.). - Uber die Wellengleichung bei Grenzkreisgruppen erster Art, Sitz. Heidelberg. Akad. Wiss., Math.-naturw. Kl., 1953-1955, Abh. n° 4, p. 159-267. Zbl0072.30101MR81967
  14. [14] Selberg ( A.). - Harmonic analysis and discontinuous groups in weakly symmetric riemanian spaces with applications to Dirichlet series, J. Indian math. Soc., t. 20, 1956, p. 47-87. Zbl0072.08201MR88511
  15. [15] Tate ( J.). - Fourier analysis in number fields and Hecke's zeta functions (Dissertation, Princeton1950). 
  16. [16] Weil ( André). - Adeles and algebraic groups. - Princeton, Institute for advanced Study, 1961. 

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