The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 /

The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / Victor Guillemin, L. Boutet de Monvel.

The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for To...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Boutet de Monvel, L.,
Guillemin, Victor,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1981
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 99
Online Access:
Physical Description:1 online resource (166 p.)
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Table of Contents:
  • Frontmatter
  • TABLE OF CONTENTS
  • §1. Introduction
  • §2. GENERALIZED TOEPLITZ OPERATORS
  • §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE
  • §4. THE METAPLECTIC REPRESENTATION
  • §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS
  • §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES
  • §7. THE COMPOSITION THEOREM
  • §8. THE PROOF OF THEOREM 7.5
  • §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS
  • §10. THE TRANSPORT EQUATION
  • §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS
  • §12. THE TRACE FORMULA
  • §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS
  • §14. THE HILBERT POLYNOMIAL
  • §15. SOME CONCLUDING REMARKS
  • BIBLIOGRAPHY
  • APPENDIX: QUANTIZED CONTACT STRUCTURES
  • Backmatter

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