Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula

DOI10.1016/S0022-1236(03)00141-1zbMath1070.47009arXivmath/0303024OpenAlexW2074420302MaRDI QIDQ1876246

Mats Andersson, Johannes Sjöstrand

Publication date: 16 August 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303024

zbMATH Keywords

spectrumfunctional calculusnon-commuting operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (9)

The symbol of a function of a pseudodifferential operator ⋮ Joint spectrum and the infinite dihedral group ⋮ Projective spectrum and kernel bundle ⋮ Projective spectrum and cyclic cohomology ⋮ Schauder decompositions and functional calculus ⋮ Operators with smooth functional calculi ⋮ The Weyl correspondence as a functional calculus for non-commuting operators ⋮ Hermitian Geometry on Resolvent Set ⋮ PROJECTIVE SPECTRUM IN BANACH ALGEBRAS

Cites Work

• Calcul fonctionnel à plusieurs variables pour des opérateurs pseudodifferentiels dans \(R^ n\)
• Extension of analytic functional calculus mappings and duality by (partial d)--closed forms with growth
• Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable
• (Ultra)differentiable functional calculus and current extension of the resolvent mapping.
• On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
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