Analyse semi-classique de la formule des traces de Selberg (début)

André Voros

Séminaire de théorie spectrale et géométrie (1986-1987)

  • Volume: 5, page 57-66
  • ISSN: 1624-5458

How to cite

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Voros, André. "Analyse semi-classique de la formule des traces de Selberg (début)." Séminaire de théorie spectrale et géométrie 5 (1986-1987): 57-66. <http://eudml.org/doc/114268>.

@article{Voros1986-1987,
author = {Voros, André},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {functional determinants; Selberg trace formula},
language = {fre},
pages = {57-66},
publisher = {Institut Fourier},
title = {Analyse semi-classique de la formule des traces de Selberg (début)},
url = {http://eudml.org/doc/114268},
volume = {5},
year = {1986-1987},
}

TY - JOUR
AU - Voros, André
TI - Analyse semi-classique de la formule des traces de Selberg (début)
JO - Séminaire de théorie spectrale et géométrie
PY - 1986-1987
PB - Institut Fourier
VL - 5
SP - 57
EP - 66
LA - fre
KW - functional determinants; Selberg trace formula
UR - http://eudml.org/doc/114268
ER -

References

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  1. [1] A. VOROS. - Phys. Lett. B 180 ( 1986) 245-246, et Spectral Functions, Special Functions and the Selberg Zeta Function, Comm. Math. Phys, 110 ( 1987), 439-465. Zbl0631.10025MR869009
  2. [2] A. VOROS. - Ann. InsL H. Poincaré. 39 A 211-338, 1983. Zbl0526.34046MR729194
  3. [3] Y. COLIN DE VERDIÈRE. - Composit. Math. 27 259-184, 1973. Zbl0281.53036
  4. [3] J. CHAZARAIN. - Invent. Math. 24 65-82, 1974. Zbl0281.35028MR343320
  5. [3] J.J. DUISTERMAAT, V.W. GUILLEMIN. - Invent. Math. 29 39-79, 1975. Zbl0307.35071MR405514
  6. [4] D. RAY, I.M. SINGER. - Ann. Math. 98 154-177, 1973. Zbl0267.32014MR383463
  7. [5] A. SELBERG. - J. Indian Math. Soc. 20 47-87, 1956. Zbl0072.08201MR88511
  8. [5] D. HEJHAL. - The Selberg Trace Formula on PSL(2, R ) I & II. Springer Lecture Notes in Math. 548 ( 1976) et 1001, 1983. Zbl0347.10018
  9. [6] D. HEJHAL. - Duke Math. J. 43 441-482, 1976. Zbl0346.10010MR414490
  10. [6] J. ELSTRODT . - Jber. d. Dt. Math. - Verein 83 45-77, 1981. Zbl0453.10021MR612411
  11. [6] N.L. BALAZS, A. VOROS. - Physics Reports 143 109-240, Eq. (VII. 20) p. 173, 1986. MR864962
  12. [7] E.T. WHITTAKER , G.N. WATSON. - A course of Modem Analysis, (Chap. XII, Ex. 48-50), Cambridge Univ. Press, 1965. Zbl0951.30002JFM45.0433.02
  13. [8] J. FISHER. - Dissertation (Westf. Wilhelms Universität, Munster, RFA, 1975, non publié), et An Approach to the Selberg Trace Formula via the Selberg Zeta-function, Springer Lecture Notes in Math. 1253, 1987. MR892317
  14. [8] P. SARNAK. - Determinants of Laplacians, Comm. Math. Phys, 110 ( 1987), 113- 120. Zbl0618.10023MR885573
  15. [9] P. CARTIER, A. VOROS. - en préparation, 1987. 
  16. [10] D. FRIED . - Invent. Math. 84 523-540, 1986. Zbl0621.53035MR837526
  17. [11] E. D'HOKER , D.H. PHONG. - Comm. Math. Phys. 104 537-545, 1986. Zbl0599.30073MR841668
  18. [12] V.W. GUILLEMIN. - Duke Math. J. 44 485-517, 1977. Zbl0463.58024MR448452
  19. [13] M.C. GUTZWILLER. - Phys. Rev. Lett 45 150-153, 1980. 
  20. [14] M.C. GUTZWILLER. - J. Math. Phys. 12 343-358, 1971. 
  21. [15] A. VOROS. - dans : J.M. Souriau ed., Géométrie Symplectique et Physique Mathématique (Colloques Internationaux n° 237, Aix-en-Provence 1974), C.N.R.S., pp. 277-287, 1975. 
  22. [15] Y. COLIN DE VERDIÈRE . - Invent. Math. 43 15-52, 1977. Zbl0449.53040MR501196
  23. [16] C. BARDOS, J.C. GUILLOT , J. RALSTON. - Comm. Partial Diff. Equations 7 905, 1982. Zbl0496.35067MR668585
  24. [16] M. IKAWA. - J. Math., Kyoto Univ. 23 127-294, 1983. Zbl0561.35060MR692733
  25. [16] C. GÉRARD, J. SJÖSTRAND. - Comm. Math. Phys. 108, 391-421, 1987. Zbl0637.35027MR874901

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Errata par/by André Voros P.59 eq.(17) 1e ligne : $PF Z$ [et non $FP Z$]. P.60 eq.(18) premier terme : $c_{i_n} \Gamma(i_n) (- \l )^{-i_n}$ [et non $c_{i_n} \Gamma(i_n) (- \l )^{i_n}$]. P.63 après l'eq.(29), rajouter : où $\tau_0(\g)$ est la longueur primitive de $\g \ (\tau(p)$ si $\g = p^n$), et ... P.65 réf.[8] : J. Fischer, Dissertation... 1985... [et non: Fisher ... 1975]. P.65 réf.[9] : P. Cartier et A. Voros, C.R. Acad. Sci. Paris, Sér. I, v. 307 (1988) 143--148.

posted by André Voros on November 10, 2017 10:20:51 AM UTC

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