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Bulletin of the American Mathematical Society

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The meaning of Maslov's asymptotic method: The need of Planck's constant in mathematics


Author: Jean Leray
Journal: Bull. Amer. Math. Soc. 5 (1981), 15-27
MSC (1980): Primary 47B99, 81C99; Secondary 35S99, 42B99
DOI: https://doi.org/10.1090/S0273-0979-1981-14914-4
MathSciNet review: 614311
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References [Enhancements On Off] (What's this?)

  • 1. V. I. Arnold, On a characteristic class intervening in quantum conditions, Functional Anal. Appl. 1 (1967), 1-14. (Russian with English transl.) MR 211415
  • 2. V. C. Buslaev, Quantization and the W. K. B. method, Trudy Mat. Inst. Steklov 110 (1970), 5-28. (Russian) MR 297258
  • 3. V. P. Maslov, Perturbation theory and asymptotic methods, M. G. U., Moscow, 1965. (Russian)
  • 4. H. Poincaré, Sur les intégrales irrégulières, Acta Math. 8 (1886), no. 1, 295–344 (French). Des équations linéaires. MR 1554701, https://doi.org/10.1007/BF02417092
  • 5. I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I, Mat-Fys. Medd. Danske Vid. Selsk. 31 (1959), 1-39. MR 112626
  • 6. J. Leray, Analyse lagrangienne et mécanique quantique, Séminaire du Collège de France 1976-1977; R. C. P. 25, Strasbourg, 1978. MR 501198

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DOI: https://doi.org/10.1090/S0273-0979-1981-14914-4

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