Determinant of the Neumann Operator on Smooth Jordan Curves

DOI10.2307/2048324zbMath0739.35107OpenAlexW4255275521MaRDI QIDQ3971093

Julian Edward, Siye Wu

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048324

zbMATH Keywords

determinantcircumferenceNeumann operatormethod of heat kernel expansion

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Spectral invariants of the perturbed polyharmonic Steklov problem, Dyson gas on a curved contour, Spectral determinant on Euclidean isosceles triangle envelopes, Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds, Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere, Convexity properties of the normalized Steklov zeta function of a planar domain, Precise constants in bosonization formulas on Riemann surfaces. I, On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials, Heat invariants of the Steklov problem, A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces, Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator, An estimate for the Steklov zeta function of a planar domain derived from a first variation formula

Cites Work

• Unnamed Item
• On determinants of Laplacians on Riemann surfaces
• Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
• Extremals of determinants of Laplacians
• Analytic torsion and R-torsion of Riemannian manifolds
• Zeta function regularization of path integrals in curved spacetime
• R-torsion and the Laplacian on Riemannian manifolds
• Analytic torsion for complex manifolds
• The Variation of the De Rham Zeta Function