An expression of classical dynamics
An integral operator representation of classical periodic pseudodifferential operators.
An intrinsic definition of the Dirac operator.
An -isolation theorem for Yang-Mills fields
An -isolation theorem for Yang-Mills fields over complete manifolds
An operator theoretic approach to stochastic flows on manifolds
An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds.
An upper estimation for the eigenfrequencies of vibrating Liapunoff bodies (first boundary value problem).
Analyse micro-locale du noyau de Bergman
Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme
Analyse semi-classique de l'opérateur de Schrödinger sur la sphère
Analyse sur les boules d' un opérateur sous-elliptique.
Analysis on Extended Heisenberg Group
In this paper we study Markov semigroups generated by Hörmander-Dunkl type operators on Heisenberg group.
Analytic and Geometric Logarithmic Sobolev Inequalities
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 and Reidemeister Torsion for Representation in Finite Type Hilbert Modules.
Analytic continuation of representations and estimates of automorphic forms.
Analytic index formulas for elliptic corner operators
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,...
Analytic Surgery and the Eta Invariant.
Analytic torsion and closed geodesics on hyperbolic manifolds.
Analytic torsions on contact manifolds
We propose a definition for analytic torsion of the contact complex on contact manifolds. We show it coincides with Ray–Singer torsion on any -dimensional CR Seifert manifold equipped with a unitary representation. In this particular case we compute it and relate it to dynamical properties of the Reeb flow. In fact the whole spectral torsion function we consider may be interpreted on CR Seifert manifolds as a purely dynamical function through Selberg-like trace formulae, that hold also in variable...