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Mathematische Nachrichten
Article . 2009 . Peer-reviewed
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Article . 2009
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Edge symbolic structures of second generation

Authors: Calvo, D.; Schulze, Bert-Wolfgang (Prof. Dr.);

Edge symbolic structures of second generation

Abstract

AbstractOperators on a manifold with (geometric) singularities are degenerate in a natural way. They have a principal symbolic structure with contributions from the different strata of the configuration. We study the calculus of such operators on the level of edge symbols of second generation, based on specific quantisations of the corner‐degenerate interior symbols, and show that this structure is preserved under composition (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Keywords

ddc:510, continuity in Sobolev spaces with double weights, Pseudodifferential and Fourier integral operators on manifolds, edge quantisation, Institut für Mathematik, Pseudodifferential operators as generalizations of partial differential operators, Degenerate elliptic equations, composition in the edge calculus, Pseudodifferential operators, operators on manifolds with second order singularities

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
bronze