Intersection properties of Gevrey classes and of certain other classes

DOI10.1016/S0007-4497(98)80003-1zbMath0930.26013MaRDI QIDQ1273818

Jacques Chaumat, Anne-Marie Chollet

Publication date: 30 January 2000

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

closed idealsWhitney jetsdivision and preparation theoremsŁojasiewicz regular separationnon quasi-analytic classes

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) (C^infty)-functions, quasi-analytic functions (26E10) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (7)

Composition in ultradifferentiable classes ⋮ Ultradifferentiable extension theorems: a survey ⋮ Global structure of some ultradistributions ⋮ Arc-smooth functions on closed sets ⋮ The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type ⋮ Closed ideals in some intersections of non-quasi-analytic classes ⋮ Unnamed Item

Cites Work

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• On E. Borel's theorem
• Surjectivity of the restriction map to a compact in classes of ultradifferentiable functions
• An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
• Pseudoanalytic extension of smooth functions. The uniform scale
• Sur le théorème de division de Weierstrass
• Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de $ℝ^n$

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