Corner Mellin operators and conormal asymptotics
Opérateurs pseudo-différentiels et asymptotique sur des variétés à singularités
Corner Mellin operators and reduction of orders with parameters
Branching of asymptotics for elliptic operators on manifolds with edges
Asymptotics of potentials in the edge calculus
Boundary value problems on manifolds with conical singularities or edges contain potential operators as well as trace and Green operators which play a similar role as the corresponding operators in (pseudo-differential) boundary value problems on a smooth manifold. There is then a specific asymptotic behaviour of these operators close to the singularities. We characterise potential operators in terms of actions of cone or edge pseudo-differential operators (in the neighbouring space) on densities...
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