An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces

François Golse; Pierre Lochak

doi:10.1007/s00014-003-0773-x

An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces

François Golse
, Pierre Lochak

Institut Universitaire de France
Université Paris Cité

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We derive an infinitesimal (or variational) version of the Selberg trace formula for compact Riemann surfaces, which gives information on the behaviour of the eigenvalues of the Laplace-Beltrami operator as the surface varies over the appropriate moduli space.

langue originale	Anglais
Pages (de - à)	731-739
Nombre de pages	9
journal	Commentarii Mathematici Helvetici
Volume	78
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s00014-003-0773-x
état	Publié - 17 nov. 2003
Modification externe	Oui

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10.1007/s00014-003-0773-x

Contient cette citation

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title = "An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces",

abstract = "We derive an infinitesimal (or variational) version of the Selberg trace formula for compact Riemann surfaces, which gives information on the behaviour of the eigenvalues of the Laplace-Beltrami operator as the surface varies over the appropriate moduli space.",

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KW - Selberg trace formula

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An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces

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