Keywords
- Lagrangian Submanifold
- Fourier Integral Operator
- Lagrangian Manifold
- Schwartz Kernel
- Symplectic Diffeomorphism
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
R. Bott, “On the iteration of closed geodesics and the Sturm intersection theory”, Comm. Pure Appl. Math. 9 (1956) 176–206
J. Chazarain, “Formule de Poisson pour les variétés Riemanniennes”, Invent. Math. 24, 65–82 (1974).
J. J. Duistermaat, “On the Morse index in variational calculus”, to appear in Journal of Diff. Geom.
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)
J. J. Duistermaat and L. Hörmander, “Fourier Integral Operators II”, Acta Math. 128 (1972) 183–269
I. M. Gelfand and G. E. Shilov, Generalized Functions I, Academic Press, New York 1964
V. Guillemin and S. Sternberg, Geometric Asymptotics, AMS publications, (now in proof)
L. Hörmander, “Fourier Integral Operators”, Acta Math. 127 (1971) 79–183.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0074191
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07180-8
Online ISBN: 978-3-540-37521-0
eBook Packages: Springer Book Archive
