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Birkhäuser

Microlocal Methods in Mathematical Physics and Global Analysis

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Daniel Grieser

    1. Oldenburg, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Stefan Teufel

    1. Inst. Mathematik, Universität Tübingen, Tübingen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Andras Vasy

    1. , Department of Mathematics, Bldg. 380, Stanford University, Stanford, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Overview of current research in microlocal analysis
  • Extended abstracts allow quick communication of current research without many technicalities, also for non-experts
  • Pointers to complete papers and background literature help to get deeper into the subject?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

Part of the book sub series: Research Perspectives (RESPERSP)

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Table of contents (33 papers)

  1. Front Matter

    Pages i-ix
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  2. Semiclassical and Adiabatic Limits

    1. Front Matter

      Pages 1-1
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  3. Semiclassical and adiabatic limits

    1. Local Smoothing with a Prescribed Loss for the Schrödinger Equation

      • Hans Christianson, Jared Wunsch
      Pages 3-6

    2. Propagation Through Trapped Sets and Semiclassical Resolvent Estimates

      • Kiril Datchev, András Vasy
      Pages 7-10

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

      • Giuseppe De Nittis
      Pages 11-14

    4. Microlocal Analysis of FIOs with Singularities

      • Raluca Felea
      Pages 15-17

    5. A Nonlinear Adiabatic Theorem for Coherent States

      • Clotilde Fermanian Kammerer, Rémi Carles
      Pages 19-23

    6. Adiabatic Limits and Related Lattice Point Problems

      • Yuri A. Kordyukov, Andrey A. Yakovlev
      Pages 25-28

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

      • David Krejčiřík, Helena Šediváková
      Pages 29-32

    8. The Adiabatic Limit of the Laplacian on Thin Fibre Bundles

      • Jonas Lampart, Stefan Teufel
      Pages 33-36

    9. Adiabatic Limit with Isolated Degenerate Fibres

      • Richard B. Melrose
      Pages 37-43

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

      • Gianluca Panati
      Pages 45-48

    11. Recent Results in Semiclassical Approximation with Rough Potentials

      • T. Paul
      Pages 49-52

  4. Singular spaces

    1. Front Matter

      Pages 53-53
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    2. On the Closure of Elliptic Wedge Operators

      • Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza
      Pages 55-58

    3. Generalized Blow-Up of Corners and Fiber Products

      • Chris Kottke, Richard Melrose
      Pages 59-62

    4. Trace Expansions for Elliptic Cone Operators

      • Thomas Krainer, Juan B. Gil, Gerardo A. Mendoza
      Pages 63-67

    5. Spectral Geometry for the Riemann Moduli Space

      • Rafe Mazzeo
      Pages 69-72

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

      • Pablo Ramacher, Aprameyan Parthasarathy
      Pages 73-76

    7. Pseudodifferential Operators on Manifolds with Foliated Boundaries

      • Frédéric Rochon
      Pages 77-80
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Keywords

About this book

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen  from the 14th to the 18th of June 2011, are collected.​  

Editors and Affiliations

  • Oldenburg, Germany

    Daniel Grieser

  • Inst. Mathematik, Universität Tübingen, Tübingen, Germany

    Stefan Teufel

  • , Department of Mathematics, Bldg. 380, Stanford University, Stanford, USA

    Andras Vasy

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