The Selected Works of V.S. Varadarajan, Volume 1V.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. This book is jointly published by the AMS and the International Press. |
Contents
Introduction 162 | 12 |
General properties of spaces of measures 181 | 31 |
Applications to rings of functions and function spaces 211 | 61 |
Bibliography 227 | 77 |
14 Probability in physics and a theorem on simultaneous observability | 79 |
15 with C Radhakrishna Rao Discrimination of Gaussian Processes | 109 |
18 with K R Parthasarathy and R Ranga Rao Representations of complex | 167 |
19 On the ring of invariant polynomials on a semisimple Lie algebra Amer | 215 |
34 Some remarks on meromorphic differential equations with simple singular | 427 |
38 with D G Babbitt Local moduli for meromorphic differential equations | 441 |
47 with P Truini The concept of a quantum semisimple group Lett Math | 475 |
54 with P Truini Universal deformations of reductive Lie algebras Lett | 527 |
57 with T Digernes and S R S Varadhan Finite approximations to quantum | 541 |
a modern point of view Bull | 577 |
63 Path integrals for a class of Padic Schrödinger equations Lett Math | 619 |
21 with P C Trombi Asymptotic behaviour of eigen functions on a semi | 630 |
Common terms and phrases
a₁ A₂ Amer analytic arbitrary assume asymptotic b₁ b₂ Boolean Borel sets Borel space bounded compact constant convergence Corollary corresponding countable defined denote differential equations distributions eigenvalues elements equivalent ergodic measures estimate exists exp H finite fixed follows formula G-space G₁ Gaussian measures GL(n H₁ h₂ Haar measure Harish-Chandra hence Hilbert space homomorphism implies integer invariant measure irreducible isomorphism Lemma Lie algebra linear functional M₁ Math matrix metric space module Moreover non-zero notation o-algebra o-smooth obtain operator P₁ P₂ Poincaré group polynomial probability measure Proof properties Proposition prove quantum Remark representation of G resp result roots self-adjoint semisimple Lie groups separable metric space sequence shows signed measure subalgebra subgroup subset subspace Suppose symmetric Theorem theory topological space topology transform U₁ unique V₁ Varadarajan vector write