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...
Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group
Anomalous terms in gauge theory : relevance of the structure group
Antilocality of complex powers of elliptic differential operators with analytic coefficients
Anti-self-dual orbifolds with cyclic quotient singularities
An index theorem for the anti-self-dual deformation complex on anti-self-dual orbifolds with cyclic quotient singularities is proved. We present two applications of this theorem. The first is to compute the dimension of the deformation space of the Calderbank–Singer scalar-flat Kähler toric ALE spaces. A corollary of this is that, except for the Eguchi–Hanson metric, all of these spaces admit non-toric anti-self-dual deformations, thus yielding many new examples of anti-self-dual ALE spaces. For...
Appendice : « Décomposition en produit de deux browniens d'une martingale à valeurs dans un groupe muni d'une métrique bi-invariante »
Application of the microlocal theory of sheaves to the study of
Applications harmoniques stables
Applications of spectral geometry to affine and projective geometry.
Applications of symplectic homology II: Stability of the action spectrum.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Approche de la conjecture de Novikov par la cohomologie cyclique
Approximate equivalence transformations and invariant solutions of a perturbed nonlinear wave equation.