Holomorphic corner symbols

DOI10.1007/s11868-011-0040-7zbMath1253.35236OpenAlexW2052449287MaRDI QIDQ1758388

N. Habal, Bert-Wolfgang Schulze

Publication date: 9 November 2012

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0040-7

zbMATH Keywords

Mellin pseudo-differential operatorsholomorphic Mellin and Green symbolsiterative calculuskernel cut-offoperators on stratified spaces

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35)

Related Items (10)

Mellin operators in the edge calculus ⋮ Calculus on spaces with higher singularities ⋮ Strapdown INS/GPS integrated navigation using geometric algebra ⋮ The Mellin-edge quantisation for corner operators ⋮ The Singular Functions of Branching Edge Asymptotics ⋮ Mellin Quantisation in Corner Operators ⋮ Holomorphic operator families on a manifold with edge ⋮ Quantisation on a manifold with singular edge ⋮ Ellipticity on spaces with higher singularities ⋮ Corner boundary value problems

Cites Work

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• Transformation de Mellin et développements asymptotiques
• Cone pseudodifferential operators in the edge symbolic calculus
• Mellin and Green operators of the corner calculus
• Operators with symbol hierarchies and iterated asymptotics.
• Elliptic mixed, transmission and singular crack problems
• Explicit algebras with the Leibniz–Mellin translation product
• Meromorphic symbolic structures for boundary value problems on manifolds with edges

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