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Bent Ørsted

Composition formulas in the Weyl calculus

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  • Toshiyuki Kobayashi, University of Tokyo, Japan
  • Bent Ørsted
  • Michael Pevzner, Université de Reims, France
  • André Unterberger, Université de Reims, France
  • Department of Mathematical Sciences
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.
Original languageEnglish
JournalJournal of Functional Analysis
Volume257
Issue4
Pages (from-to)948-991
Number of pages44
ISSN0022-1236
DOIs
Publication statusPublished - 2009

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