Extrinsic Upper Bounds for ...1.
Finite parts of the spectrum of a Riemann surface.
Fonctions harmoniques sur les variétés
Fonctions propres sur des variétés avec des anses fines, application à la multiplicité
Fonctions zêta de Selberg et surfaces de géométrie finie
Formes harmoniques de longueur constante sur les variétés
Formes harmoniques sur les variétés asymptotiquement hyperboliques complexes
Formule intégrale & développement asymptotique du nombre de points d'un réseau dans l'espace hyperbolique
Fractal Weyl laws for quantum resonances
Generalization Of An Inequality Of G. Pólya Concerning The Eigenfrequences Of Vibrating Bodies
Generalized Backscattering and the Lax-Phillips Transform
2000 Mathematics Subject Classification: 35P25, 35R30, 58J50.Using the free-space translation representation (modified Radon transform) of Lax and Phillips in odd dimensions, it is shown that the generalized backscattering transform (so outgoing angle w = Sq in terms of the incoming angle with S orthogonal and Id-S invertible) may be further restricted to give an entire, globally Fredholm, operator on appropriate Sobolev spaces of potentials with compact support. As a corollary we show that the...
Generic properties of periodic reflecting rays and the Poisson relation
Grandes valeurs propres du laplacien et graphes
Hardy inequalities in strips on ruled surfaces.
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Heat content asymptotics for operators to Laplace type with Neumann boundary conditions.
Heat Kernel and Hard Estimates for Locally Euclidean Manifolds with Fractal Boundaries.
Heat kernel upper bounds on a complete non-compact manifold.
Let M be a smooth connected non-compact geodesically complete Riemannian manifold, Δ denote the Laplace operator associated with the Riemannian metric, n ≥ 2 be the dimension of M. Consider the heat equation on the manifoldut - Δu = 0,where u = u(x,t), x ∈ M, t > 0. The heat kernel p(x,y,t) is by definition the smallest positive fundamental solution to the heat equation which exists on any manifold (see [Ch], [D]). The purpose of the present work is to obtain uniform upper bounds of p(x,y,t)...
Homogeneous bundles and the first eigenvalue of symmetric spaces
In this note we prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kähler metric on a compact Hermitian symmetric spaces of ABCD–type.
Homologie associée à une fonctionnelle