Hans Duistermaat

Johannes " Hans " Jisse Duistermaat ( born December 20, 1942 in Utrecht, † 19 March 2010) was a Dutch mathematician.

Duistermaat studied from 1959 at the University of Utrecht, where he received his doctorate in Hans Freudenthal, 1968 ( Energy and entropy as real morphisms for addition and order ). 1969/70 he was a post-doctoral researcher at the University of Lund Lars Hörmander. From 1971 he was at the University of Nijmegen, where he was a professor since 1972. Since 1974 he was the successor of Freudenthal Professor of Mathematics at the University of Utrecht. Most recently, he was there from 2004 Academy professor. He died unexpectedly of complications from pneumonia.

Duistermaat dealt with analysis, for example, Fourier integral operators ( with Lars Hörmander ) with applications to classical mechanics and discrete integrable systems, spectra of elliptic operators ( with Victor Guillemin ), symplectic differential geometry ( equivariant cohomology and Duistermaat - Heckman formula for the stationary phase, with Gert Heckman ), algebraic geometry, harmonic analysis on semisimple Lie groups, singularities of mappings.

Duistermaat was a member of the Royal Netherlands Academy of Sciences ( KNAW ) and Knight of the Order of the Netherlands Lion since 1982. He had an academy professor at the KNAW.

Among its 23 doctoral students include Johan Kolk and Hendrik Broer. Duistermaat was a passionate chess players.

Writings

  • Johan AC Kolk: Lie groups, Springer, Universitext, 2000
  • Johan Kolk: distribution theory and applications, Springer 2010
  • Johan Kolk: Multidimensional real analysis 1.2, Cambridge University Press 2004
  • Fourier Integral Operators, Birkhäuser 1995
  • The heat kernel Lefschetz fixed point formula for the spin -C Dirac operator, Birkhauser 1996
  • Victor Guillemin, Lars Hörmander: Fourier Integral Operators - Selected classical articles by Guillemin, Duistermaat, Hörmander, Springer 1994 ( series Mathematics past and present, editor Victor Guillemin, Jochen Brüning )
  • Discrete integrable systems: QRT Maps and Elliptic surfaces, Springer 2010
  • Richard Cushman, Jedrzej Sniatycki: Geometry of nonholonomically constrained systems, World Scientific 2010
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