§5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS

Kapitel in diesem Buch

1. Frontmatter i
2. TABLE OF CONTENTS v
3. §1. Introduction 1
4. §2. GENERALIZED TOEPLITZ OPERATORS 11
5. §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE 21
6. §4. THE METAPLECTIC REPRESENTATION 27
7. §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS 35
8. §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES 39
9. §7. THE COMPOSITION THEOREM 44
10. §8. THE PROOF OF THEOREM 7.5 51
11. §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS 66
12. §10. THE TRANSPORT EQUATION 77
13. §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS 80
14. §12. THE TRACE FORMULA 90
15. §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS 99
16. §14. THE HILBERT POLYNOMIAL 110
17. §15. SOME CONCLUDING REMARKS 123
18. BIBLIOGRAPHY 128
19. APPENDIX: QUANTIZED CONTACT STRUCTURES 131
20. Backmatter 161