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Algebraic and Geometric Methods in Mathematical Physics

Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Anne Boutet Monvel

    1. Université Paris 7, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Vladimir Marchenko

    1. Institute for Low Temperature Physics, Kharkov, Ukraine

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematical Physics Studies (MPST, volume 19)

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Table of contents (32 papers)

  1. Front Matter

    Pages i-xiv
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  2. Analysis and Spectral Theory

    1. Front Matter

      Pages 1-1
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    2. Quantization of Hitchin’s Fibration and Langland’s Program

      • A. A. Beilinson, V. G. Drinfeld
      Pages 3-7

    3. Boundary Values of the Resolvent of a Self-Adjoint Operator: Higher order Estimates

      • Anne Boutet De Monvel, Vladimir Georgescu
      Pages 9-52

    4. Index Theorems and Microsupport

      • L. Boutet De Monvel
      Pages 53-71

    5. Equation des Ondes Amorties

      • G. Lebeau
      Pages 73-109

    6. Oscillatory Integrals Controlling the Drift of Spectral Projections for Pseudo-Differential Operators

      • Nicolas Lerner
      Pages 111-126

    7. Linear Adiabatic Theory: Exponential Estimates and Applications

      • G. Nenciu
      Pages 127-142

  3. Mathematical Problems of Quantum Field Theory and Statistical Physics

    1. Front Matter

      Pages 143-143
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    2. Vector Bundles on Riemann Surfaces and Conformal Field Theory

      • Arnaud Beauville
      Pages 145-166

    3. Introduction to the Conformal Field Theory

      • Alexander A. Belavin
      Pages 167-185

    4. Discretized Moduli Spaces and Matrix Models

      • L. Chekhov
      Pages 187-206

    5. Spectral and Probabilistic Aspects of Matrix Models

      • L. A. Pastur
      Pages 207-242

    6. On Approximation of General Hamiltonians by Hamiltonians of the Theories of Superconductivity and Superfluidity

      • D. Ya. Petrina
      Pages 243-260

  4. Nonlinear Equations and Integrable Systems

    1. Front Matter

      Pages 261-261
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    2. Initial and Boundary Value Problems for the Sine-Gordon Equation

      • E. D. Belokolos
      Pages 263-275

    3. Algebra of Compositions and Non-Linear Equations

      • Yu. L. Daletskii
      Pages 277-291

    4. Nonlinear Equations for Equilibrium Costs and Their Solvability

      • N. S. Gonchar
      Pages 293-306

    5. Soliton Asymptotics of Non-Decreasing Solutions of Nonlinear Evolutionary Equations

      • E. Ya. Khruslov
      Pages 307-322

    6. Operator Algebras, Non-Linear Equations and Darboux-Like Transforms

      • Vladimir A. Marchenko
      Pages 323-342
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Keywords

Editors and Affiliations

  • Université Paris 7, Paris, France

    Anne Boutet Monvel

  • Institute for Low Temperature Physics, Kharkov, Ukraine

    Vladimir Marchenko

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