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Eigenvalues associated with a closed geodesic
Author(s):
Victor
Guillemin;
Alan
Weinstein
Journal:
Bull. Amer. Math. Soc.
82
(1976),
92-94.
MSC (1970):
Primary 35P20
Correction:
Bull. Amer. Math. Soc., Volume 82, Number 6 (1976), 966--966
MathSciNet review:
0436227
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Additional information
References:
- 1.
- J. Chazarain, Formule de Poisson pour les variétés riemanniennes, Invent. Math. 24 (1974), 65-82. MR 49 #8062. MR 343320
- 2.
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- 3.
- J. J. Duistermaat and V. Guillemin, The spectrum of positive elliptic operators and periodic geodesics, Invent. Math. (to appear). MR 423438
- 4.
- J. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), 183-269. MR 388464
- 5.
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- 6.
- M. Gutzwiller, Periodic orbits and classical quantization conditions, J. Mathematical Phys. 12 (1971), 343-358.
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- 8.
- H. Huber, Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen, Math. Ann. 138 (1959), 1-26. MR 22 #99. MR 109212
- 9.
- B. Kostant, Symplectic spinors, Symposia Matematica (to appear). MR 400304
- 10.
- V. P. Moslov, Théorie des perturbations et méthodes asymptotiques, Izdat. Moskov. Gos. Univ., Moscow, 1965; French transl., Dunod, Paris, 1972.
- 11.
- A. Melin and J. Sjöstrand, Fourier integral operators with complex-valued phase functions, Sympos. on Fourier Integral Operators (Nice, 1974), Lecture Notes in Math., Springer-Verlag, Berlin and New York (to appear). MR 431289
- 12.
- A. Voros, The WKB-Moslov method for nonseparable systems, C.N.R.S. Sympos. on Symplectic Geometry and Mathematical Physics, Aix-en-Provence, 1974 (to appear). MR 467827
- 13.
- A. Weinstein, On Moslov's quantization condition, Sympos. on Fourier Integral Operators (Nice, 1974), Lecture Notes in Math., Springer-Verlag, Berlin and New York (to appear).
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Additional Information:
DOI:
10.1090/S0002-9904-1976-13972-9
PII:
S 0002-9904(1976)13972-9
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