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Clean intersection theory and Fourier Integrals

Part of the Lecture Notes in Mathematics book series (LNM,volume 459)

Keywords

  • Lagrangian Submanifold
  • Fourier Integral Operator
  • Lagrangian Manifold
  • Schwartz Kernel
  • Symplectic Diffeomorphism

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Bibliography

  1. R. Bott, “On the iteration of closed geodesics and the Sturm intersection theory”, Comm. Pure Appl. Math. 9 (1956) 176–206

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  2. J. Chazarain, “Formule de Poisson pour les variétés Riemanniennes”, Invent. Math. 24, 65–82 (1974).

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  3. J. J. Duistermaat, “On the Morse index in variational calculus”, to appear in Journal of Diff. Geom.

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  4. J. J. Duistermaat and V. Guillemin, “The spectrum of positive elliptic operators and periodic geodesics”, Proc. AMS Summer institute on Diff. Geom. Stanford 1973 (to appear)

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  5. J. J. Duistermaat and L. Hörmander, “Fourier Integral Operators II”, Acta Math. 128 (1972) 183–269

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  6. I. M. Gelfand and G. E. Shilov, Generalized Functions I, Academic Press, New York 1964

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  7. V. Guillemin and S. Sternberg, Geometric Asymptotics, AMS publications, (now in proof)

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  8. L. Hörmander, “Fourier Integral Operators”, Acta Math. 127 (1971) 79–183.

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© 1975 Springer-Verlag

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Guillemin, V. (1975). Clean intersection theory and Fourier Integrals. In: Chazarain, J. (eds) Fourier Integral Operators and Partial Differential Equations. Lecture Notes in Mathematics, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074191

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  • DOI: https://doi.org/10.1007/BFb0074191

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07180-8

  • Online ISBN: 978-3-540-37521-0

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