Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds

DOI10.1007/s12220-008-9028-9zbMath1154.58016arXivmath/0511185OpenAlexW2049994943MaRDI QIDQ942982

Jinsung Park, Paul Loya, Klaus Kirsten

Publication date: 8 September 2008

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511185

zbMATH Keywords

zeta functionself-adjoint extensionconic manifold

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (14)

Zeta Functions of Elliptic Cone Operators ⋮ Zeta regularized determinants for conic manifolds ⋮ Regular singular Sturm-Liouville operators and their zeta-determinants ⋮ Analytic torsion on manifolds with edges ⋮ Heat kernel coefficients for Laplace operators on the spherical suspension ⋮ The exotic heat-trace asymptotics of a regular-singular operator revisited ⋮ Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone ⋮ Mapping properties of the heat operator on edge manifolds ⋮ Ricci de Turck flow on singular manifolds ⋮ Trace expansions for elliptic cone operators with stationary domains ⋮ Zeta determinants for regular-singular Laplace-type operators ⋮ Spectral functions for the Schrödinger operator on R+ with a singular potential ⋮ A new example of the effects of a singular background on the zeta function ^* ⋮ Heat-trace asymptotics for edge Laplacians with algebraic boundary conditions

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