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

Fourier integral operators by J. J Duistermaat ( Book )
19 editions published between 1973 and 2011 in English and Undetermined and held by 531 libraries worldwide

Lie groups by J. J Duistermaat ( Book )
7 editions published between 1999 and 2000 in English and Undetermined and held by 288 libraries worldwide

Distributions theory and applications by J. J Duistermaat ( Book )
11 editions published between 2008 and 2010 in English and held by 286 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.

Discrete integrable systems QRT Maps and Elliptic Surfaces by J. J Duistermaat ( Book )
9 editions published in 2010 in English and held by 281 libraries worldwide
This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other problems in the literature, including Poncelet mapping and the elliptic billiard, is examined in detail. The link between elliptic fibrations and completely integrable Hamiltonian systems is also discussed. The book begins with a comprehensive overview of the subject, including QRT maps, singularity confinement, automorphisms

Multidimensional real analysis by J. J Duistermaat ( Book )
8 editions published in 2004 in English and held by 192 libraries worldwide

The heat kernel Lefschetz fixed point formula for the spin-c dirac operator by J. J Duistermaat ( Book )
6 editions published between 1995 and 2011 in English and held by 191 libraries worldwide

Mathematics past and present : Fourier integral operators : selected classical articles by J. J Duistermaat ( Book )
3 editions published in 1994 in English and held by 170 libraries worldwide

Geometry of nonholonomically constrained systems by Richard H Cushman ( Book )
5 editions published in 2010 in English and held by 126 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 Carathéodory'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.

Integration by J. J Duistermaat ( Book )
3 editions published in 2004 in English and held by 115 libraries worldwide

Differentiation by J. J Duistermaat ( Book )
3 editions published in 2004 in English and held by 112 libraries worldwide