An arithmetic Riemann-Roch theorem in higher degrees
We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.
An Elementary Proof for a Compact Imbedding Result in Generalized Electromagnetic Theory.
An elementary theory of hyperfunctions and microfunctions
An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics
This paper gives an error analysis of the multi-configuration time-dependent Hartree (MCTDH) method for the approximation of multi-particle time-dependent Schrödinger equations. The MCTDH method approximates the multivariate wave function by a linear combination of products of univariate functions and replaces the high-dimensional linear Schrödinger equation by a coupled system of ordinary differential equations and low-dimensional nonlinear partial differential equations. The main result of this...
An estimate for a fundamental solution of a parabolic equation with drift on a Riemannian manifold.
An estimate on the hessian of the heat kernel
An Example on the Heisenberg Group Related to the Levy Operator.
An explicite description of harmonic measure.
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.