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Composition formulas in the Weyl calculus

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  • Toshiyuki Kobayashi, The University of Tokyo, Japan
  • Bent Ørsted
  • Michael Pevzner, Université de Reims, Frankrig
  • André Unterberger, Université de Reims, Frankrig
  • Institut for Matematiske Fag
In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rn×Rn) as integral superpositions of homogeneous ones, of degrees lying on the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis.
OriginalsprogEngelsk
TidsskriftJournal of Functional Analysis
Vol/bind257
Nummer4
Sider (fra-til)948-991
Antal sider44
ISSN0022-1236
DOI
StatusUdgivet - 2009

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