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Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians

Technical Report:

Abstract

The Selberg trace formula for automorphic forms of weight m {epsilon}- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.).
Authors:
Bolte, J; [1]  Grosche, C [2] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
  2. International School for Advanced Studies, Trieste (Italy)
Publication Date:
Aug 01, 1992
Product Type:
Technical Report
Report Number:
DESY-92-118; SISSA-139/92/FM
Reference Number:
SCA: 662110; PA: DEN-92:015543; SN: 93000903845
Resource Relation:
Other Information: PBD: Aug 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; RIEMANN SPACE; LAPLACIAN; STRING MODELS; ANALYTIC FUNCTIONS; DIRICHLET PROBLEM; BOSONS; CONFORMAL MAPPING; SPECTRA; EIGENVALUES; KERNELS; SERIES EXPANSION; PARTITION FUNCTIONS; EIGENFUNCTIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10104289
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93742854; TRN: DE9215543
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
30 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Bolte, J, and Grosche, C. Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians. Germany: N. p., 1992. Web.
Bolte, J, & Grosche, C. Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians. Germany.
Bolte, J, and Grosche, C. 1992. "Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians." Germany.
@misc{etde_10104289,
title = {Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians}
author = {Bolte, J, and Grosche, C}
abstractNote = {The Selberg trace formula for automorphic forms of weight m {epsilon}- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.).}
place = {Germany}
year = {1992}
month = {Aug}
}