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math-ph2005★ 2 cited
Dirac Operator in Matrix Geometry
Ivan G. Avramidi
We review the construction of the Dirac operator and its properties in Riemannian geometry and show how the asymptotic expansion of the trace of the heat kernel determines the spec…
math-ph2001
Heat Kernel Asymptotics of Zaremba Boundary Value Problem
Ivan Avramidi
The Zaremba boundary-value problem is a boundary value problem for Laplace-type second-order partial differential operators acting on smooth sections of a vector bundle over a smoo…