Options
Laplacian and spectral gap in regular Hilbert geometries
Auteur(s)
Date de parution
2014-9-19
In
Tohoku Math. J.
No
66
De la page
377
A la page
407
Résumé
We study the spectrum of the Finsler--Laplace operator for regular Hilbert geometries, defined by convex sets with C2 boundaries. We show that for an n-dimensional geometry, the spectral gap is bounded above by (n−1)2/4, which we prove to be the infimum of the essential spectrum. We also construct examples of convex sets with arbitrarily small eigenvalues.
Identifiants
Autre version
https://projecteuclid.org/euclid.tmj/1412783204
Type de publication
journal article
Dossier(s) à télécharger
