Functional analysis in cone and edge Sobolev spaces

DOI10.1007/BF00128002zbMath0739.46023MaRDI QIDQ1173571

Tankred Hirschmann

Publication date: 25 June 1992

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

zbMATH Keywords

Sobolev spacesabstract \(F\)-transformsFourier and Mellin transformoperator- valued pseudodifferential operatorspseudodifferential calculus on manifolds with singularities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (27)

Analytic index formulas for elliptic corner operators ⋮ An algebra of meromorphic corner symbols ⋮ A Calculus of Abstract Edge Pseudodifferential Operators of Type $\rho,\delta$ ⋮ Mixed boundary value problems and parametrices in the edge calculus ⋮ Mellin Operators in Weighted Corner Spaces ⋮ Mellin operators in the edge calculus ⋮ Pseudo-differential operators with operator-valued symbols in the Mellin- edge- approach ⋮ The Iterative Structure of the Corner Calculus ⋮ The Zaremba problem with singular interfaces as a corner boundary value problem ⋮ A characterization of the singular green operators in boutet de monvel's calculus via wedge sobolev spaces ⋮ Asymptotics in weighted corner spaces ⋮ Weighted spaces on corner manifolds ⋮ Mellin and Green pseudodifferential operators associated with non-compact edges ⋮ A new approach to the second order edge calculus ⋮ Unnamed Item ⋮ The Mellin-edge quantisation for corner operators ⋮ Order filtrations of the edge algebra ⋮ The Singular Functions of Branching Edge Asymptotics ⋮ Volterra operators in the edge-calculus ⋮ Edge symbolic structures of second generation ⋮ Mellin-edge representations of elliptic operators ⋮ Continuity of Edge and Corner Pseudodifferential Operators ⋮ Corner operators with symbol hierarchies ⋮ Analysis on regular corner spaces ⋮ On the index of elliptic operators on a wedge ⋮ Iterative properties of pseudo-differential operators on edge spaces ⋮ Continuous and variable branching asymptotics

Cites Work

• Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics
• Transformation de Mellin et développements asymptotiques
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