Determinants of Laplace-like operators on Riemann surfaces
type: Item
instance of: scholarly article
title: Determinants of Laplace-like operators on Riemann surfaces
zbMATH Open document ID: 0704.58053
DOI: 10.1007/BF02096935
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: Laplacian type operators are defined, acting on sections of parametrized tensor bundles over compact Riemann surfaces. Determinants of these operators are defined via the usual regularization, from analytic continuation of the zeta function. These determinants are then calculated by an inductive procedure, relying upon Selberg's zeta function. The answer differs in some respects from earlier direct calculations using Selberg's trace formula. The authors proceed to clarify the reasons for these discrepancies.
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 4155528
zbMATH Keywords: spectrum
zbMATH Keywords: Laplacian
zbMATH Keywords: determinants
author: J. Bolte
author: Frank Steiner
reviewed by: Harold Donnelly
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4155528