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RESEARCH PRODUCT

Invariance spectrale des algèbres d'opérateurs pseudodifférentiels

Bertrand MonthubertRobert LauterVictor Nistor

subject

AlgebraOperator algebraBanach algebraFredholm operatorHolomorphic functional calculusHolomorphic functionGeneral MedicineOperator theoryFréchet algebraDifferential operatorMathematics

description

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. To cite this article: R. Lauter et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1095–1099.

https://doi.org/10.1016/s1631-073x(02)02393-2