The spectral theory of Toeplitz operators

Title  ......Page 1
Copyright   ......Page 2
Table of Contents  ......Page 3
§1 Introduction  ......Page 5
§2 Generalized Toeplitz operators  ......Page 13
§3 Fourier integral operators of Hermite type  ......Page 23
§4 The metaplectic representation  ......Page 29
§5 Metalinear and metaplectic structures on manifolds  ......Page 37
§6 Isotropic subspaces of symplectic vector spaces  ......Page 41
§7 The composition theorem  ......Page 46
§8 The proof of Theorem 7.5  ......Page 53
§9 Pull-backs, push-forwards and exterior tensor products  ......Page 68
§10 The transport equation  ......Page 79
§11 Symbolic properties of Toeplitz operators  ......Page 82
§12 The trace formula  ......Page 92
§13 Spectral properties of Toeplitz operators  ......Page 101
§14 The Hilbert polynomial  ......Page 112
§15 Some concluding remarks  ......Page 125
Bibliography  ......Page 130
Appendix: Quantized contact structures  ......Page 133