000 04558nam a22005655i 4500
001 978-0-8176-8244-6
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007 cr nn 008mamaa
008 110627s2011 xxu| s |||| 0|eng d
020 _a9780817682446
_9978-0-8176-8244-6
024 7 _a10.1007/978-0-8176-8244-6
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aKolk, Johan A.C.
_eeditor.
245 1 0 _aGeometric Aspects of Analysis and Mechanics
_h[electronic resource] :
_bIn Honor of the 65th Birthday of Hans Duistermaat /
_cedited by Johan A.C. Kolk, Erik P. van den Ban.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2011.
300 _aXXXVI, 372p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v292
505 0 _aPreface -- 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.
520 _aHans 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.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aGroup theory.
650 0 _aGlobal analysis (Mathematics).
650 0 _aGeometry.
650 0 _aGlobal differential geometry.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aGeometry.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aDifferential Geometry.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aGroup Theory and Generalizations.
700 1 _avan den Ban, Erik P.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817682439
830 0 _aProgress in Mathematics ;
_v292
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8244-6
912 _aZDB-2-SMA
999 _c105101
_d105101