scientific article; zbMATH DE number 1051390
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Publication:4349653
zbMath0912.35164MaRDI QIDQ4349653
Publication date: 25 August 1997
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Mellin operatorscone manifoldMellin pseudo-differential operatorsparameter-dependent ellipticitycorner manifoldspseudo-differential operators on edge manifoldsvector-valued symbol
Pseudodifferential operators as generalizations of partial differential operators (35S05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Pseudodifferential operators (47G30)
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An algebra of meromorphic corner symbols ⋮ Mellin operators in the edge calculus ⋮ The Zaremba problem with singular interfaces as a corner boundary value problem ⋮ On the closure of elliptic wedge operators ⋮ Calculus on spaces with higher singularities ⋮ Calculus on straight singular cones ⋮ Boundary problems on a manifold with edge ⋮ The Mellin-edge quantisation for corner operators ⋮ Order filtrations of the edge algebra ⋮ Boundary symbols in the cone algebra ⋮ Volterra operators in the edge-calculus ⋮ Holomorphic operator families on a manifold with edge ⋮ Holomorphic corner symbols ⋮ Calculus on a manifold with edge and boundary ⋮ Ellipticity of the quantum mechanical Hamiltonians: corner singularity of the helium atom ⋮ Corner operators with symbol hierarchies ⋮ Analysis on regular corner spaces ⋮ Corner boundary value problems ⋮ Ellipticity on manifolds with edges and boundary ⋮ Iterative properties of pseudo-differential operators on edge spaces ⋮ Continuous and variable branching asymptotics ⋮ Symbolic calculus for boundary value problems on manifolds with edges
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