An informal overview is given of an algebra of pseudodifferential operators on manifolds with conical singularities as it was introduced by Schulze. It is proven that the residual class of Green operators, that by definition map Sobolev spaces to functions having certain prescribed asymptotics at the singularity, can equivalently be described as integral operators with smooth kernels, which have in both variables a corresponding asymptotic structure.
The cone algebra and a kernel characterization of Green operators
SEILER, JOERG
2001-01-01
Abstract
An informal overview is given of an algebra of pseudodifferential operators on manifolds with conical singularities as it was introduced by Schulze. It is proven that the residual class of Green operators, that by definition map Sobolev spaces to functions having certain prescribed asymptotics at the singularity, can equivalently be described as integral operators with smooth kernels, which have in both variables a corresponding asymptotic structure.
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