Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators

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dc.creatorChristianson, Hans
dc.date2008-03-05
dc.date.accessioned2026-07-07T09:24:58Z
dc.date.available2026-07-07T09:24:58Z
dc.descriptionFollowing the work of Duistermaat-Singer \cite{DS} on isomorphisms of algebras of global pseudodifferential operators, we classify isomorphisms of algebras of microlocally defined semiclassical pseudodifferential operators. Specifically, we show that any such isomorphism is given by conjugation by $A = BF$, where $B$ is a microlocally elliptic semiclassical pseudodifferential operator, and $F$ is a microlocal $h$-FIO associated to the graph of a local symplectic transformation.
dc.identifierhttps://arxiv.org/abs/0803.0729
dc.identifierhttp://arxiv.org/abs/0803.0729
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156254
dc.subjectAnalysis of PDEs
dc.subject35S30
dc.titleIsomorphisms between Algebras of Semiclassical Pseudodifferential Operators
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