publication . Preprint . Article . 2013

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

Boris Vertman;
Open Access English
  • Published: 30 Jan 2013
Abstract
We discuss the exotic properties of the heat-trace asymptotics for a regular-singular operator with general boundary conditions at the singular end, as observed by Falomir, Muschietti, Pisani and Seeley as well as by Kirsten, Loya and Park. We explain how their results alternatively follow from the general heat kernel construction by Mooers, a natural question that has not been addressed yet, as the latter work did not elaborate explicitly on the singular structure of the heat trace expansion beyond the statement of non-polyhomogeneity of the heat kernel.
Subjects
free text keywords: Mathematics - Spectral Theory, Mathematical Physics, Statistical and Nonlinear Physics, Resolvent, Manifold, Boundary value problem, Differential operator, Pure mathematics, Gravitational singularity, Operator (computer programming), Mathematical analysis, Heat kernel, Riemann zeta function, symbols.namesake, symbols, Mathematics

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Mathematisches Institut, Universita¨t Bonn, 53115 Bonn, Germany

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