Ueber die Dimension der Eigenräume des Laplace-Operators auf Riemannschen Flächen.
Ueber die Eigenwerte des Laplace-Operators auf kompakten Riemannschen Flächen II.
Une approche probabiliste du théorème de l'indice (Atiyah-Singer)
Une caractérisation spectrale des nilvariétés
Une inégalité universelle pour la première valeur propre du laplacien
Universal bounds for eigenvalues of Schrödinger operators on Riemannian manifolds.
Untere Schranken für den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen.
Upper bound for the first eigenvalue of algebraic submanifolds.
Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds
On geometrically finite hyperbolic manifolds , including those with non-maximal rank cusps, we give upper bounds on the number of resonances of the Laplacian in disks of size as . In particular, if the parabolic subgroups of satisfy a certain Diophantine condition, the bound is .
Vacuum energy as spectral geometry.
Valeurs propres immergées dans le spectre continu d'une surface de Riemann
Variation de la phase de diffusion et distribution des résonances
Variétés riemanniennes isospectrales non isométriques
Vector fields on hyperspheres
Volume des ensembles nodaux des fonctions propres du laplacien
Volume des ensembles nodaux des fonctions propres du laplacien
Von Neumann Spectra Near Zero.
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems.
Weighted Weyl estimates near an elliptic trajectory.
Let Ψjh and Ejh denote the eigenfunctions and eigenvalues of a Schrödinger-type operator Hh with discrete spectrum. Let Ψ(x,ξ) be a coherent state centered at a point (x,ξ) belonging to an elliptic periodic orbit, γ of action Sγ and Maslov index σγ. We consider weighted Weyl estimates of the following form: we study the asymptotics, as h → 0 along any sequenceh = Sγ / (2πl - α + σγ), l ∈ N, α ∈ R fixed, ofΣ|Ej - E| ≤ ch |(Ψ(x,ξ), Ψjh)|2.We prove that the asymptotics depend strongly on α-dependent...
You can not hear the mass of a homology class.