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Analysis on Extended Heisenberg Group

B. Zegarliński (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we study Markov semigroups generated by Hörmander-Dunkl type operators on Heisenberg group.

Analytic and Geometric Logarithmic Sobolev Inequalities

Michel Ledoux (2011)

Journées Équations aux dérivées partielles

We survey analytic and geometric proofs of classical logarithmic Sobolev inequalities for Gaussian and more general strictly log-concave probability measures. Developments of the last decade link the two approaches through heat kernel and Hamilton-Jacobi equations, inequalities in convex geometry and mass transportation.

Analytic index formulas for elliptic corner operators

Boris Fedosov, Bert-Wolfgang Schulze, Nikolai Tarkhanov (2002)

Annales de l’institut Fourier

Spaces with corner singularities, locally modelled by cones with base spaces having conical singularities, belong to the hierarchy of (pseudo-) manifolds with piecewise smooth geometry. We consider a typical case of a manifold with corners, the so-called "edged spindle", and a natural algebra of pseudodifferential operators on it with special degeneracy in the symbols, the "corner algebra". There are three levels of principal symbols in the corner algebra, namely the interior,...

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