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

DOI10.1007/S00014-003-0773-XzbMath1085.11027OpenAlexW2000604965MaRDI QIDQ1422172

Pierre Lochak, François Golse

Publication date: 5 February 2004

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-003-0773-x

zbMATH Keywords

Riemann surfacesdeformationSelberg trace formulavariation of geodesic length

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

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