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On the logarithm component in trace defect formulas
Gerd Grubb
In asymptotic expansions of resolvent traces $\Tr(A(P-λ)^{-1})$ for classical pseudodifferential operators on closed manifolds, the coefficient of is of spec…
Analysis of Invariants Associated with Spectral Boundary Problems for an Elliptic Operator
Gerd Grubb
This is a survey of recent results on zeta- and eta-function poles and values for realizations of Laplace- and Dirac-type operators defined by pseudodifferential projection boundar…
A resolvent approach to traces and zeta Laurent expansions
Gerd Grubb
Classical pseudodifferential operators A on closed manifolds are considered. It is shown that the basic properties of the canonical trace TR A introduced by Kontsevich and Vishik a…
Traces and Quasi-traces on the Boutet de Monvel Algebra
Gerd Grubb, Elmar Schrohe
We construct an analogue of Kontsevich and Vishik's canonical trace for a class of pseudodifferential boundary value problems in Boutet de Monvel's calculus on compact manifolds wi…
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems
Gerd Grubb
For a Dirac-type operator D with a spectral boundary condition, the associated heat operator trace has an expansion in powers and log-powers of t. Some of the log-coefficients vani…
Trace Expansions and the Noncommutative Residue for Manifolds with Boundary
Gerd Grubb, Elmar Schrohe
For a pseudodifferential boundary operator A of integer order νand class zero (in the Boutet de Monvel calculus) on a compact n-dimensional manifold with boundary, we consider the…