Spectral invariance for certain algebras of pseudodifferential operators

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dc.creatorLauter, Robert
dc.creatorMonthubert, Bertrand
dc.creatorNistor, Victor
dc.date2001-12-10
dc.date.accessioned2026-07-07T04:45:08Z
dc.date.available2026-07-07T04:45:08Z
dc.descriptionWe construct algebras of pseudodifferential operators on a continuous family groupoid G that are closed under holomorphic functional calculus, contain the algebra of all pseudodifferential operators of order 0 on G as a dense subalgebra, and reflect the smooth structure of the groupoid G, when G is smooth. As an application, we get a better understanding on the structure of inverses of elliptic pseudodifferential operators on classes of non-compact manifolds. For the construction of these algebras closed under holomorphic functional calculus, we develop three methods: one using two-sided semi-ideals, one using commutators, and one based on Schwartz spaces on the groupoid.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0112091
dc.identifierhttp://arxiv.org/abs/math/0112091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62855
dc.subjectOperator Algebras
dc.subjectSpectral Theory
dc.titleSpectral invariance for certain algebras of pseudodifferential operators
dc.typetext

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