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The Selected Works of V.S. Varadarajan
V. S. Varadarajan, University of California, Los Angeles, CA
A co-publication of the AMS and International Press.
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Collected Works
1999; 630 pp; hardcover
Volume: 11
ISBN-10: 0-8218-1068-5
ISBN-13: 978-0-8218-1068-2
List Price: US$152
Member Price: US$121.60
Order Code: CWORKS/11
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V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions.

For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, Supersymmetry for Mathematicians: An Introduction, The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis, and Algebra in Ancient and Modern Times.

This book is jointly published by the AMS and the International Press.

Readership

Graduate students and research mathematicians.

Reviews

"This book is a collection of 22 papers by V.S. Varadarajan. In addition to the papers themselves, the volume contains a complete bibliography of his 64 papers and 6 books published between 1958 and 1998. Finally, it has a very useful set of comments by Varadarajan that serve as a historical introduction to the papers included in this volume. The papers cover a wide variety of topics. Varadarajan's historical comments on each topic together with the bibliography will make it easy for the interested reader to refer back to the original papers."

-- Mathematical Reviews

Table of Contents

  • Comments
  • Measures on topological spaces
  • Probability in physics and a theorem on simultaneous observability
  • Discrimination of Gaussian processes
  • Groups of automorphisms of Borel spaces
  • Representations of complex semisimple Lie groups and Lie algebras
  • On the ring of invariant polynomials on a semisimple Lie algebra
  • Spherical transforms on semisimple Lie groups
  • Asymptotic behaviour of eigenfunctions on a semisimple Lie group: The discrete spectrum
  • On an infinitesimal characterization of the discrete series
  • Spectra of compact locally symmetric manifolds of negative curvature
  • Oscillatory integrals and their applications to harmonic analysis on semisimple Lie groups
  • Some remarks on meromorphic differential equations with simple singularities
  • Local moduli for meromorphic differential equations
  • The eigenvalue problem on negatively curved compact locally symmetric manifolds
  • Hilbert space representations of the Poincaré group for the Landau gauge
  • The concept of a quantum semisimple group
  • Lorentz invariant distributions supported on the forward light cone
  • Universal deformations of reductive Lie algebras
  • Finite approximations to quantum systems
  • Variations on a theme of Schwinger and Weyl
  • Linear meromorphic differential equations: A modern point of view
  • Path integrals for a class of \(P\)-adic Schrödinger equations
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