Heat kernel asymptotics: more special case calculations

TL;DR

This paper presents specific calculations of heat kernel asymptotics to help determine the possible forms of heat kernel coefficients under certain boundary conditions.

Contribution

It provides new special case calculations that restrict the general form of heat kernel coefficients for specific boundary conditions.

Findings

Restrictions on heat kernel coefficients derived from special case calculations

Application to transmittal boundary conditions

Application to generalized bag boundary conditions

Abstract

Special case calculations are presented, which can be used to put restrictions on the general form of heat kernel coefficients for transmittal boundary conditions and for generalized bag boundary conditions.