scientific article

DOI<143::AID-MANA143>3.0.CO;2-4 10.1002/1522-2616(200107)227:1<143::AID-MANA143>3.0.CO;2-4zbMath1001.46016MaRDI QIDQ2747575

Vincent Thilliez

Publication date: 14 October 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

closed idealsultradistributionultradifferentiable classesPuisseux expansionsreal-analytic mappingRoumieu-Carleman class

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) (C^infty)-functions, quasi-analytic functions (26E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Rings and algebras of continuous, differentiable or analytic functions (46E25)

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Estimates for Weierstrass division in ultradifferentiable classes ⋮ On the stability of analytic germs under ultradifferentiable perturbations ⋮ Functions with ultradifferentiable powers ⋮ On quasianalytic local rings ⋮ Invariant functions in Denjoy-Carleman classes

Cites Work

• Characterization of Noetherian rings of formal power series with controlled growth. Application to spectral synthesis
• Idéaux de fonctions différentiables. I
• Pseudoanalytic extension of smooth functions. The uniform scale

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