The Determinant of the Dirichlet-to-Neumann Map for Surfaces with Boundary

DOI10.1093/imrn/rnm099zbMath1139.58014arXivmath/0701727OpenAlexW2089638794MaRDI QIDQ5439946

Laurent Guillopé, Colin Guillarmou

Publication date: 30 January 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701727

zbMATH Keywords

uniformizationRiemann surfacescattering operatorSelberg zeta functionLaplaciansDirichlet-to-Neumann mapYamabe operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Elliptic equations on manifolds, general theory (58J05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

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