Contact Geometry and Linear Differential Equations

Front Cover......Page 1
Title......Page 2
Copyright......Page 3
Contents......Page 4
Introduction......Page 6
1. Integration on manifolds ......Page 10
2. Analysis on RP^n and smooth homogeneous functions on R_{*}^{n+1]                    ......Page 20
3. Homogeneous and formally homogeneous distributions                       ......Page 33
4. Fourier transformation of homogeneous functions                          ......Page 39
5. Homogeneous symplectic and contact structures                            ......Page 53
6. Functorial properties of the phase space and local representation of Lagrangian manifolds. The classification lemma        ......Page 72
1. Maslov's canonical operator theory)                     ......Page 87
2. Fourier-Maslov integral operators                                        ......Page 121
3. Singularities of hyperbolic equations; examples and applications         ......Page 146
1. Equations of principal type                                              ......Page 158
2. Microlocal classification of pseudodifferential operators                ......Page 184
3. Equations of subprincipal type                                           ......Page 201
References                                                                  ......Page 220
Index                                                                       ......Page 224
Back Cover......Page 229