(Ultra)differentiable functional calculus and current extension of the resolvent mapping.

DOI10.5802/aif.1965zbMath1052.47009OpenAlexW2248423098MaRDI QIDQ1395365

Mats Andersson

Publication date: 26 June 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_3_903_0

zbMATH Keywords

commuting operatorsfunctional calculuscurrentTaylor spectrumresolvent mappingultradifferentiable functiongeneralized scalar operatorBishop's property beta

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (2)

Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula ⋮ Operators with smooth functional calculi

Cites Work

• Extension of analytic functional calculus mappings and duality by (partial d)--closed forms with growth
• Integral representation with weights. I
• BRST model for equivariant cohomology and representatives for the equivariant Thom class
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Uniqueness of Taylor's Functional Calculus
• On non-holomorphic functional calculus for commuting operators
• Sur le changement de variables dans les distributions et leurs tranformées de fourier
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