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Birkhäuser

Geometric Aspects of Analysis and Mechanics

In Honor of the 65th Birthday of Hans Duistermaat

  • Book
  • © 2011

Overview

Editors:
  1. Johan A.C. Kolk

    1. Department of Mathematics, Utrecht University, Utrecht, Netherlands

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  2. Erik P. van den Ban

    1. Mathematical Institute, Utrecht University, Utrecht, Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  • Invited articles written by prominent researchers in the field
  • Broad collection of topics highlights Duistermaat's wide range of research and influence
  • The articles cover a wide area of fields, including symplectic, differential, and algebraic geometry, mechanics, and mathematical physics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 292)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxxvi
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  2. Duistermaat–Heckman formulas and index theory

    • Jean-Michel Bismut
    Pages 1-55

  3. Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

    • Louis Boutet de Monvel, Eric Leichtnam, Xiang Tang, Alan Weinstein
    Pages 57-79

  4. A semi-classical inverse problem I: Taylor expansions

    • Yves Colin de Verdière, Victor Guillemin
    Pages 81-95

  5. A semi-classical inverse problem II: reconstruction of the potential

    • Yves Colin de Verdière
    Pages 97-119

  6. On the solvability of systems of pseudodifferential operators

    • Nils Dencker
    Pages 121-159

  7. The Darboux process and a noncommutative bispectral problem: some explorations and challenges

    • F. Alberto Grünbaum
    Pages 161-177

  8. Conjugation spaces and edges of compatible torus actions

    • Jean-Claude Hausmann, Tara Holm
    Pages 179-198

  9. Nonabelian localization for U(1) Chern–Simons theory

    • Lisa Jeffrey, Brendan McLellan
    Pages 199-212

  10. Symplectic implosion and nonreductive quotients

    • Frances Kirwan
    Pages 213-256

  11. Quantization of q-Hamiltonian SU(2)-spaces

    • Eckhard Meinrenken
    Pages 257-293

  12. Wall-crossing formulas in Hamiltonian geometry

    • Paul-Emile Paradan
    Pages 295-343

  13. Eigenvalue distributions and Weyl laws for semiclassical non-self-adjoint operators in 2 dimensions

    • Johannes Sjöstrand
    Pages 345-352

  14. Symplectic inverse spectral theory for pseudodifferential operators

    • San Vũ Ngọc
    Pages 353-372
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Keywords

About this book

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

 

Contributors include J.-M. Bismut, L. Boutet de Monvel, Y. Colin de Verdière, R.H. Cushman, N. Dencker, F.A. Grünbaum, V.W. Guillemin, J.-C. Hausmann, G. Heckman, T. Holm, L.C. Jeffrey, F. Kirwan, E. Leichtnam, B. McLellan, E. Meinrenken, P.-E. Paradan, J. Sjöstrand, X. Tang, S. Vũ Ngọc, A. Weinstein.

Editors and Affiliations

  • Department of Mathematics, Utrecht University, Utrecht, Netherlands

    Johan A.C. Kolk

  • Mathematical Institute, Utrecht University, Utrecht, Netherlands

    Erik P. van den Ban

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