Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics

DOI10.1007/BF00129908zbMath0632.58032OpenAlexW2022159103MaRDI QIDQ1095477

Bert-Wolfgang Schulze, Stephan Rempel

Publication date: 1986

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00129908

zbMATH Keywords

symbolic calculus(pseudo-) differential operatorsconormal asymptoticsGreen-operatorsmanifolds with conical pointsMellin-operatorsoperators of Fuchs-type

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items

Compositions in the Edge Calculus, Complex powers on noncompact manifolds and manifolds with singularities, Mellin Operators in Weighted Corner Spaces, The Iterative Structure of the Corner Calculus, Homology of pseudodifferential operators on manifolds with fibered cusps, The index of \(b\)-pseudodifferential operators on manifolds with corners, Asymptotic parametrices of elliptic edge operators, Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners, Regularity with continuous and branching asymptotics for elliptic operators on manifolds with edges, Operators on manifolds with conical singularities, Invariance of the cone algebra without asymptotics, Calculus on spaces with higher singularities, Totally characteristic pseudo-differential operators in Besov-Lizorkin- Triebel spaces, On the existence and structure of \(\psi^*\)-algebras of totally characteristic operators on compact manifolds with boundary, Functional analysis in cone and edge Sobolev spaces, Boundary symbols in the cone algebra, Mellin Quantisation in Corner Operators, Quantisation on a manifold with singular edge, Regularity of solutions to degenerate operators, Operators with Corner-Degenerate Symbols, Corner operators with symbol hierarchies, Analysis on regular corner spaces, Corner boundary value problems, Unnamed Item, Iterative properties of pseudo-differential operators on edge spaces, Symbolic calculus for boundary value problems on manifolds with edges

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