Invariance spectrale des algèbres d'opérateurs pseudodifférentiels

Translated title of the contribution: Spectral invariance of algebras of pseudodifferential operators

Robert Lauter, Bertrand Monthubert, Victor Nistor

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators.

Translated title of the contributionSpectral invariance of algebras of pseudodifferential operators
Original languageFrench
Pages (from-to)1095-1099
Number of pages5
JournalComptes Rendus Mathematique
Volume334
Issue number12
DOIs
StatePublished - Jun 30 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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