40% off Popular Science books & eBooks—Save on general interest titles now!

Progress in Mathematics

Geometric Aspects of Analysis and Mechanics

In Honor of the 65th Birthday of Hans Duistermaat

Editors: van den Ban, Erik P., Kolk, Johan A.C. (Eds.)

Free Preview
  • 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
see more benefits

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-0-8176-8244-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-8176-8243-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

The well-known contributors to this text cover a wide range of topics: semi-classical inverse problems; eigenvalue distributions; symplectic inverse spectral theory for pseudodifferential operators; solvability for systems of pseudodifferential operators; the Darboux process and a noncommutative bispectral problem; a proof of the Atiyah-Weinstein conjecture on the index of Fourier integral operators and the relative index of CR structures; relations between index theory and localization formulas of Duistermaat–Heckman; non-Abelian localization; symplectic implosion and nonreductive quotients; conjugation spaces; and Hamiltonian geometry. Also included are several articles in memory of Hans Duistermaat.

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.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Duistermaat–Heckman formulas and index theory

    Pages 1-55

    Bismut, Jean-Michel

  • Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

    Pages 57-79

    Monvel, Louis Boutet (et al.)

  • A semi-classical inverse problem I: Taylor expansions

    Pages 81-95

    Verdière, Yves Colin (et al.)

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

    Pages 97-119

    Verdière, Yves Colin

  • On the solvability of systems of pseudodifferential operators

    Pages 121-159

    Dencker, Nils

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-0-8176-8244-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-8176-8243-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Geometric Aspects of Analysis and Mechanics
Book Subtitle
In Honor of the 65th Birthday of Hans Duistermaat
Editors
  • Erik P. van den Ban
  • Johan A.C. Kolk
Series Title
Progress in Mathematics
Series Volume
292
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8244-6
DOI
10.1007/978-0-8176-8244-6
Hardcover ISBN
978-0-8176-8243-9
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXXVI, 372
Number of Illustrations
5 b/w illustrations
Topics