WorldCat Identities

Duistermaat, J. J. (Johannes Jisse) 1942-

Overview
Works: 65 works in 313 publications in 5 languages and 6,139 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Honoree, Dedicatee
Classifications: QA329.6, 515.723
Publication Timeline
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Most widely held works by J. J Duistermaat
Fourier integral operators by J. J Duistermaat( Book )

61 editions published between 1972 and 2011 in English and Undetermined and held by 834 WorldCat member libraries worldwide

Literaturverz. S. [138] - 142
Lie groups by J. J Duistermaat( Book )

15 editions published between 1999 and 2000 in English and held by 369 WorldCat member libraries worldwide

"This is a (post)graduate textbook an Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their realization as sections of holomorphic line bundles over flag manifolds. The relations with algebraic and analytic models are also discussed. A review of the required background material is provided in appendices."--Jacket
Multidimensional real analysis by J. J Duistermaat( Book )

57 editions published between 2003 and 2009 in English and held by 360 WorldCat member libraries worldwide

Part two of the authors' comprehensive and innovative work on multidimensional real analysis. Numerous illustrative exercises combined with an exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study
The heat kernel Lefschetz fixed point formula for the spin-c dirac operator by J. J Duistermaat( Book )

33 editions published between 1995 and 2011 in English and Italian and held by 281 WorldCat member libraries worldwide

Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler casethe Dolbeault operator is no longer suitable for getting local formulas for the Riemann-Roch number or the holomorphic Lefschetz number. However, every symplectic manifold (phase space in classical mechanics) also carries an almost complex structure and hence a corresponding spin-c Dirac operator. Using the heat kernels theory of Berline, Getzler, and Vergne, this workrevisits some fundamental concepts of the theory, and presents the application to symplectic geometry. J.J. Duistermaat was well known for his beautiful and concise expositions of seemingly familiar concepts, and this classic studyis certainly no exception. Reprinted as it was originally published, this workis as an affordable textthat will be of interest to a range of researchers in geometric analysis and mathematical physics. Overall this is a carefully written, highly readable book on a very beautiful subject.-Mathematical Reviews The book of J.J. Duistermaat is a nice introduction to analysis related[to the]spin-c Dirac operator. ... The book is almost self contained, [is] readable, and will be useful for anybody who is interested in the topic.-EMS Newsletter The author's book is a marvelous introduction to [these] objects and theories.-Zentralblatt MATH
Distributions : theory and applications by J. J Duistermaat( Book )

24 editions published between 2008 and 2010 in English and Spanish and held by 158 WorldCat member libraries worldwide

"This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background."--Publisher's description
Geometry of nonholonomically constrained systems by Richard H Cushman( Book )

17 editions published between 2009 and 2010 in English and held by 114 WorldCat member libraries worldwide

"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat." "The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields."--Jacket
Discrete integrable systems : QRT maps and elliptic surfaces by J. J Duistermaat( Book )

19 editions published between 2010 and 2014 in English and held by 94 WorldCat member libraries worldwide

This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The application of QRT maps to problems in the literature, including Poncelet mapping and the elliptic billiard, is examined
Geometric aspects of analysis and mechanics : in honor of the 65th birthday of Hans Duistermaat by Johan A. C Kolk( Book )

6 editions published in 2011 in English and held by 89 WorldCat member libraries worldwide

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{u2013}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
Classical aspects of partial differential equations by J. J Duistermaat( Book )

4 editions published in 1980 in English and held by 48 WorldCat member libraries worldwide

Analyse van gewone differentiaalvergelijkingen by J. J Duistermaat( Book )

3 editions published between 1995 and 2002 in Dutch and held by 22 WorldCat member libraries worldwide

Studieboek voor het universitair onderwijs
Energy and entropy as real morphisms for addition and order by J. J Duistermaat( Book )

6 editions published in 1968 in English and held by 21 WorldCat member libraries worldwide

Journées complexes de Metz, février 1972 : [équations différentielles et fonctions de plusieurs variables( Book )

2 editions published in 1973 in French and held by 17 WorldCat member libraries worldwide

Equations différentielles et fonctions de plusieurs variables : Metz, France, 22-25 février 1972 by Journées complexes de Metz( Book )

3 editions published in 1973 in French and held by 8 WorldCat member libraries worldwide

Geometric aspects of analysis and mechanics in honor of the 65th birthday of Hans Duistermaat by Erik P. van den Ban( )

1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide

Integration by J. J Duistermaat( Book )

8 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide

QRT maps and elliptic surfaces by J. J Duistermaat( Book )

2 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide

Journées Complexes - Equations Différentielles et Fonctions de Plusiers Variables by J. J Duistermaat( Book )

4 editions published in 1973 in French and Undetermined and held by 3 WorldCat member libraries worldwide

Energy and entropy as real morphisms for addition and order. Proefschrift, etc by J. J Duistermaat( Book )

1 edition published in 1968 in English and held by 1 WorldCat member library worldwide

 
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Lie groups
Alternative Names
Duistermaat, H. 1942-2010

Duistermaat, Hans.

Duistermaat, Hans 1942-2010

Duistermaat, J. 1942-2010

Duistermaat, J. J.

Duistermaat, J.J. 1942-2010

Duistermaat, Johannes 1942-2010

Duistermaat, Johannes J.

Duistermaat, Johannes Jisse

Duistermaat, Johannes Jisse 1942-

Duistermaat, Johannes Jisse 1942-2010

Hans Duistermaat Dutch mathematician

Hans Duistermaat Nederlands wiskundige

Johannes Jisse Duistermaat niederländischer Mathematiker

Languages
English (250)

French (8)

Dutch (3)

Italian (1)

Spanish (1)

Covers
Lie groupsMultidimensional real analysisThe heat kernel Lefschetz fixed point formula for the spin-c dirac operatorDistributions : theory and applicationsGeometry of nonholonomically constrained systemsDiscrete integrable systems : QRT maps and elliptic surfacesGeometric aspects of analysis and mechanics : in honor of the 65th birthday of Hans DuistermaatGeometric aspects of analysis and mechanics in honor of the 65th birthday of Hans DuistermaatIntegration