The exotic heat-trace asymptotics of a regular-singular operator revisited

DOI10.1063/1.4804359zbMath1287.34076arXiv1301.7288OpenAlexW2080013954MaRDI QIDQ5402336

Boris Vertman

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7288

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (2)

A new example of the effects of a singular background on the zeta function ^* ⋮ Heat-trace asymptotics for edge Laplacians with algebraic boundary conditions

Cites Work

• Unnamed Item
• The resolvent expansion for second order regular singular operators
• Regular singular Sturm-Liouville operators and their zeta-determinants
• Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds
• Heat kernel asymptotics on manifolds with conic singularities
• Trace expansions for elliptic cone operators with stationary domains
• Zeta determinants for regular-singular Laplace-type operators
• The very unusual properties of the resolvent, heat kernel, and zeta function for the operator −d2∕dr2−1∕(4r2)
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
• Unusual poles of the  -functions for some regular singular differential operators

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