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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	731-739
Number of pages	9
Journal	Commentarii Mathematici Helvetici
Volume	78
Issue number	4
DOIs	https://doi.org/10.1007/s00014-003-0773-x
Publication status	Published - 17 Nov 2003
Externally published	Yes

Keywords

Moduli spaces of curves
Riemann surfaces
Selberg trace formula

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10.1007/s00014-003-0773-x

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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

Abstract

Keywords

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