An algebra of pseudodifferential operators on an infinite wedge is discussed. A notion of ellipticity is given that is shown to be equivalent to the existence of a parametrix within the calculus. The symbols carry asymptotic information which will be needed for the description of the asymptotics of solutions to elliptic equations on manifolds with non-compact edges.
Mellin and Green pseudo-differential operators associated with non-compact edges
SEILER, JOERG
1998-01-01
Abstract
An algebra of pseudodifferential operators on an infinite wedge is discussed. A notion of ellipticity is given that is shown to be equivalent to the existence of a parametrix within the calculus. The symbols carry asymptotic information which will be needed for the description of the asymptotics of solutions to elliptic equations on manifolds with non-compact edges.
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