On inverse-closed algebras of infinitely differentiable functions

DOI10.4064/sm-69-1-59-68zbMath0452.46030OpenAlexW1415863782MaRDI QIDQ3899021

Joaquim Bruna

Publication date: 1980

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218347

zbMATH Keywords

Denjoy-Carleman classeslocally multiplicative convex algebraFrechet algebrainverse-closed algebra

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) General theory of topological algebras (46H05)

Related Items (12)

A Symbolic Calculus for Analytic Carleman Classes ⋮ Composition in ultradifferentiable classes ⋮ Ultradifferentiable Chevalley theorems and isotropic functions ⋮ Ultradifferentiable extension theorems: a survey ⋮ The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type ⋮ Superposition in classes of ultradifferentiable functions ⋮ Inverse-Closed Carleman Algebras of Infinitely Differentiable Functions ⋮ On the construction of large algebras not contained in the image of the Borel map ⋮ Inclusion and differentiability criteria for \(L^ p\)-classes of infinitely differentiable functions ⋮ Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions ⋮ Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform ⋮ Equivalence of stability properties for ultradifferentiable function classes

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