New interpretation of the Selberg trace formula

Pierre Cartier; André Voros

Journées équations aux dérivées partielles (1988)

  • Volume: 307, Issue: 4, page 1-8
  • ISSN: 0752-0360

How to cite

top

Cartier, Pierre, and Voros, André. "Nouvelle interprétation de la formule des traces de Selberg." Journées équations aux dérivées partielles 307.4 (1988): 1-8. <http://eudml.org/doc/93170>.

@article{Cartier1988,
author = {Cartier, Pierre, Voros, André},
journal = {Journées équations aux dérivées partielles},
keywords = {Riemann surface; length spectrum; Laplacian},
language = {fre},
number = {4},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {Nouvelle interprétation de la formule des traces de Selberg},
url = {http://eudml.org/doc/93170},
volume = {307},
year = {1988},
}

TY - JOUR
AU - Cartier, Pierre
AU - Voros, André
TI - Nouvelle interprétation de la formule des traces de Selberg
JO - Journées équations aux dérivées partielles
PY - 1988
PB - Ecole polytechnique
VL - 307
IS - 4
SP - 1
EP - 8
LA - fre
KW - Riemann surface; length spectrum; Laplacian
UR - http://eudml.org/doc/93170
ER -

References

top
  1. [1] P. CARTIER, A. VOROS, CRAS Série I (Sous presse) et article en préparation. 
  2. [2] A. SELBERG, J. Ind. Math. Soc. 20 (1956) 47-87. Zbl0072.08201MR19,531g
  3. D.A. HEJHAL, The Selberg Trace Formula for PSL (2, ℝ), Vol. 1, Springer Lecture Notes Math. 548 (1976). Zbl0347.10018MR55 #12641
  4. [3] A. VOROS, Comm. Math. Phys. 110 (1987) 439-465 (equivalent formulae in : J. FISCHER, “Approach to Selberg Trace Formula...”, Springer Lecture Notes Math. 1253 (1987) ; P. SARNAK, Comm. Math. Phys. 110 (1987) 113-120 ; A. VOROS, Phys. Lett. B 180 (1986) 245-246. 
  5. [4] D. RAY, I.M. SINGER, Ann. Math. 98 (1973) 154-177 Zbl0267.32014MR52 #4344
  6. [5] J. CHAZARAIN, Invent. Math. 24 (1974) 65-82 Zbl0281.35028MR49 #8062
  7. J.J. DUISTERMAAT, V.W. GUILLEMIN, Invent. Math. 29 (1975) 39-79. Zbl0307.35071MR53 #9307
  8. [6] R. BALIAN, C. BLOCH, Ann. Phys. 85 (1974) 514-545. Zbl0281.35029MR55 #11840
  9. [7] A. VOROS, Ann. Inst. H. Poincaré 39 A (1983) 211-338 Zbl0526.34046MR86m:81051
  10. J. ECALLE, “Singularités Irrégulières et Résurgence Multiple”, dans “Cinq Applications des Fonctions Résurgentes”, prétirage Maths-Orsay 84 T 62 (1984). 
  11. [8] B. RANDOL, Trans. Amer. Math. Soc. 201 (1975) 241-246. Zbl0299.30010MR51 #5521

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.