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Let T be a random field weakly invariant under the action of a compact group G. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaus-sianity. As a consequence, in general it is not possible to simulate a non-Gaussian invariant random field through its Fourier expansion using independent coefficients

A large part of the modern theory of differential equations in the complex domain is concerned with regular singularities and holonomic systems. However the theory of differential equations with irregular singularities has a long history and has become very active in recent years. Substantial links of this theory to the theory of algebraic groups,… (More)

- Ganesh Sundaramoorthi, Peter Petersen, V. S. Varadarajan, Stefano Soatto
- 2009 IEEE Conference on Computer Vision and…
- 2009

We consider regions of images that exhibit smooth statistics, and pose the question of characterizing the "essence" of these regions that matters for recognition. Ideally, this would be a statistic (a function of the image) that does not depend on viewpoint and illumination, and yet is sufficient for the task. In this manuscript, we show that such… (More)

It is well known that the category of super Lie groups (SLG) is equivalent to the category of super Harish-Chandra pairs (SHCP). Using this equivalence, we define the category of unitary representations (UR's) of a super Lie group. We give an extension of the classical inducing construction and Mackey imprimitivity theorem to this setting. We use our… (More)

- V S Varadarajan
- 1997

The theme of doing quantum mechanics on all abelian groups goes back to Schwinger and Weyl. If the group is a vector space of finite dimension over a non-archimedean locally compact division ring, it is of interest to examine the structure of dynamical systems defined by Hamiltonians analogous to those encountered over the field of real numbers. In this… (More)

- CALVIN C. MOORE, V. S. VARADARAJAN, +7 authors TAKESHI HIRAI
- 2012

All rights reserved except those granted to the United States Government. This book may not be reproduced in any form without the permission of the publishers.

To Seshadri, for his seventieth birthday 1. Introduction. I have known Seshadri for many years. I still remember the first time when I came across his name in a Séminaire Chevalley volume on Variétés de Picard. I was at the Indian Statistical Institute at that time and was browsing in the library one day when I noticed that a certain Conjeevaram S. Seshadri… (More)

- Johan A C Kolk, Vs Varadarajan
- 2003

The transverse symbol of a vector-valued distribution supported on a submanifold is introduced and a micro-local vanishing theorem for spaces of such distributions invariant under a Lie group is proved. We give transparent proofs of results of Bruhat and Harish-Chandra on the irreducibility of parabolically or normally induced representations, and of… (More)

- J. J. DUISTERMAAT, J. A. C. KOLK, V. S. VARADARAJAN
- 2006

Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groupstion commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit conte-nir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents… (More)

The consequences for particle classification of the Volovich hypothesis that spacetime geometry is non-archimedean at the Planck scale are explored. The multiplier groups and universal topological central extensions of the p-adic Poincaré and Galilean groups are determined. 1 The Volovich hypothesis. In attempting to unify gravitation and quantum theory… (More)