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Geometric Aspects of Analysis and Mechanics

In Honor of the 65th Birthday of Hans Duistermaat

Specificaties
Gebonden, 372 blz. | Engels
Birkhäuser Boston | 2011e druk, 2011
ISBN13: 9780817682439
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Juridisch :
Birkhäuser Boston 2011e druk, 2011 9780817682439
Onderdeel van serie Progress in Mathematics
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Samenvatting

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.

Specificaties

ISBN13:9780817682439
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:372
Druk:2011

Inhoudsopgave

<p>Preface.- About J.J. Duistermaat.- Hans Duistermaat (1942-2010).- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Classical Mechanics and Hans Duistermaat.- Duistermaat-Heckman formulas and index theory.- Asymptotic equivariant index of Toeplitz operators and relative index of CR structures.- A semi-classical inverse problem I: Taylor expansions.- A semi-classical inverse problem II: reconstruction of the potential.- On the solvability of systems of pseudodifferential operators.- The Darboux process and a noncommutative bispectral problem: some explorations and challenges.- Conjugation spaces and edges of compatible torus actions.- Non-Abelian localization for U(1) Chern-Simons theory.- Symplectic implosion and non-reductive quotients.- Quantization of q-Hamiltonian SU(2)-spaces.- Wall-crossing formulas in Hamiltonian geometry.- Eigenvalue distributions and Weyl laws for semi-classical non-self-adjoint operators in 2 dimensions.- Symplectic inverse spectral theory for pseudodifferential operators.</p>

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        Geometric Aspects of Analysis and Mechanics