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Microlocal Analysis and Spectral Theory

  • Book
  • © 1997

Overview

Editors:
  1. Luigi Rodino

    1. Department of Mathematics, University of Torino, Torino, Italy

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Part of the book series: Nato Science Series C: (ASIC, volume 490)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
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  2. Linear Partial Differential Equations with Multiple Involutive Characteristics

    • O. Liess, L. Rodino
    Pages 1-38

  3. Gevrey and Analytic Hypoellipticity

    • David S. Tartakoff
    Pages 39-59

  4. Higher Microlocalization and Propagation of Singularities

    • Otto Liess
    Pages 61-90

  5. Conormality and Lagrangian Properties in Diffractive Boundary Value Problems

    • P. Laubin
    Pages 91-113

  6. Parametrized Pseudodifferential Operators and Geometric Invariants

    • Gerd Grubb
    Pages 115-164

  7. Boundary Value Problems and Edge Pseudo-Differential Operators

    • B.-W. Schulze
    Pages 165-226

  8. Wodzicki’s Noncommutative Residue and Traces for Operator Algebras on Manifolds with Conicai Singularities

    • Elmar Schrohe
    Pages 227-250

  9. Lower Bounds for Pseudodifferential Operators

    • Cesare Parenti, Alberto Parmeggiani
    Pages 251-262

  10. Weyl Formula for Globally Hypoelliptic Operators in Rn

    • Ernesto Buzano
    Pages 263-306

  11. Splitting in Large Dimension and Infrared Estimates

    • B. Helffer
    Pages 307-347

  12. Microlocal Exponential Estimates and Applications to Tunneling

    • A. Martinez
    Pages 349-376

  13. A Trace Formula and Review of Some Estimates for Resonances

    • J. Sjöstrand
    Pages 377-437

  14. Back Matter

    Pages 439-444
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Keywords

About this book

The NATO Advanced Study Institute "Microlocal Analysis and Spectral The­ ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa­ tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin­ ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math­ ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.

Editors and Affiliations

  • Department of Mathematics, University of Torino, Torino, Italy

    Luigi Rodino

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