17 citations · 72 across the 27 of their papers we have counts for
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Heat trace asymptotics defined by transfer boundary conditions
Peter Gilkey, Klaus Kirsten, Dmitri Vassilevich
We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of…
On properties of the asymptotic expansion of the heat trace for the N/D problem
Stuart Dowker, Peter Gilkey, Klaus Kirsten
The spectral problem where the field satisfies Dirichlet conditions on one part of the boundary of the relevant domain and Neumann on the remainder is discussed. It is shown that t…
Heat asymptotics with spectral boundary conditions
Stuart Dowker, Peter Gilkey, Klaus Kirsten
Let be an operator of Dirac type on a compact Riemannian manifold with smooth boundary. We impose spectral boundary conditions and study the asymptotics of the heat trace of th…