Microlocal Methods in Mathematical Physics and Global Analysis

Table of Contents

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   Book Overview
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   Chapter 1 Local Smoothing with a Prescribed Loss for the Schrödinger Equation
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   Chapter 2 Propagation Through Trapped Sets and Semiclassical Resolvent Estimates
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   Chapter 3 Space–Adiabatic Theory for Random–Landau Hamiltonian: Results and Prospects
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   Chapter 4 Microlocal Analysis of FIOs with Singularities
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   Chapter 5 A Nonlinear Adiabatic Theorem for Coherent States
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   Chapter 6 Adiabatic Limits and Related Lattice Point Problems
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   Chapter 7 The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not Work
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   Chapter 8 The Adiabatic Limit of the Laplacian on Thin Fibre Bundles
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    Chapter 9 Adiabatic Limit with Isolated Degenerate Fibres
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    Chapter 10 Microlocal Analysis and Adiabatic Problems: The Case of Perturbed Periodic Schrödinger Operators
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    Chapter 11 Recent Results in Semiclassical Approximation with Rough Potentials
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    Chapter 12 On the Closure of Elliptic Wedge Operators
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    Chapter 13 Generalized Blow-Up of Corners and Fiber Products
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    Chapter 14 Trace Expansions for Elliptic Cone Operators
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    Chapter 15 Spectral Geometry for the Riemann Moduli Space
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    Chapter 16 Invariant Integral Operators on the Oshima Compactification of a Riemannian Symmetric Space: Kernel Asymptotics and Regularized Traces
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    Chapter 17 Pseudodifferential Operators on Manifolds with Foliated Boundaries
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    Chapter 18 The Determinant of the Laplacian on a Conically Degenerating Family of Metrics
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    Chapter 19 Relatively Isospectral Noncompact Surfaces
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    Chapter 20 Microlocal Analysis of Scattering Data for Nested Conormal Potentials
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    Chapter 21 Equidistribution of Eisenstein Series for Convex Co-compact Hyperbolic Manifolds
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    Chapter 22 Lower Bounds for the Counting Function of an Integral Operator
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    Chapter 23 The Identification Problems in SPECT: Uniqueness, Non-uniqueness and Stability
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    Chapter 24 Eigenvalues and Spectral Determinants on Compact Hyperbolic Surfaces
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    Chapter 25 A Support Theorem for a Nonlinear Radiation Field
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    Chapter 26 Propagation of Singularities Around a Lagrangian Submanifold of Radial Points
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    Chapter 27 Local Energy Decay for Several Evolution Equations on Asymptotically Euclidean Manifolds
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    Chapter 28 Rayleigh Surface Waves and Geometric Pseudo-differential Calculus
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    Chapter 29 Topological Implications of Global Hypoellipticity
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    Chapter 30 Chern-Simons Line Bundle on Teichmüller Space
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    Chapter 31 A Simple Diffractive Boundary Value Problem on an Asymptotically Anti-de Sitter Space
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    Chapter 32 Quantization in a Magnetic Field
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    Chapter 33 Price’s Law on Black Hole Space-Times