Microlocal Methods in Mathematical Physics and Global Analysis


ISBN: 978-3-0348-0465-3 (Print) 978-3-0348-0466-0 (Online)
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Table of contents (33 chapters)

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  1. Front Matter

    Pages i-ix

  2. Semiclassical and adiabatic limits

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-6

      Local Smoothing with a Prescribed Loss for the Schrödinger Equation

    3. Book Chapter

      Pages 7-10

      Propagation Through Trapped Sets and Semiclassical Resolvent Estimates

    4. Book Chapter

      Pages 11-14

      Space–Adiabatic Theory for Random–Landau Hamiltonian: Results and Prospects

    5. Book Chapter

      Pages 15-17

      Microlocal Analysis of FIOs with Singularities

    6. Book Chapter

      Pages 19-23

      A Nonlinear Adiabatic Theorem for Coherent States

    7. Book Chapter

      Pages 25-28

      Adiabatic Limits and Related Lattice Point Problems

    8. Book Chapter

      Pages 29-32

      The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not Work

    9. Book Chapter

      Pages 33-36

      The Adiabatic Limit of the Laplacian on Thin Fibre Bundles

    10. Book Chapter

      Pages 37-43

      Adiabatic Limit with Isolated Degenerate Fibres

    11. Book Chapter

      Pages 45-48

      Microlocal Analysis and Adiabatic Problems: The Case of Perturbed Periodic Schrödinger Operators

    12. Book Chapter

      Pages 49-52

      Recent Results in Semiclassical Approximation with Rough Potentials

  3. Singular spaces

    1. Front Matter

      Pages 53-53

    2. Book Chapter

      Pages 55-58

      On the Closure of Elliptic Wedge Operators

    3. Book Chapter

      Pages 59-62

      Generalized Blow-Up of Corners and Fiber Products

    4. Book Chapter

      Pages 63-67

      Trace Expansions for Elliptic Cone Operators

    5. Book Chapter

      Pages 69-72

      Spectral Geometry for the Riemann Moduli Space

    6. Book Chapter

      Pages 73-76

      Invariant Integral Operators on the Oshima Compactification of a Riemannian Symmetric Space: Kernel Asymptotics and Regularized Traces

    7. Book Chapter

      Pages 77-80

      Pseudodifferential Operators on Manifolds with Foliated Boundaries

    8. Book Chapter

      Pages 81-84

      The Determinant of the Laplacian on a Conically Degenerating Family of Metrics

  4. Spectral and scattering theory

    1. Front Matter

      Pages 85-85

    2. Book Chapter

      Pages 87-89

      Relatively Isospectral Noncompact Surfaces

    3. Book Chapter

      Pages 91-94

      Microlocal Analysis of Scattering Data for Nested Conormal Potentials

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