On the stability of analytic germs under ultradifferentiable perturbations

DOI10.1016/j.jmaa.2006.06.009zbMath1122.58021arXivmath/0601111OpenAlexW2009248630MaRDI QIDQ864629

Vincent Thilliez

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601111

zbMATH Keywords

non-quasianalytic classesreal-analytic functionsinfinite determinancy

Mathematics Subject Classification ID

Local complex singularities (32S05) Critical points of functions and mappings on manifolds (58K05) Stability theory for manifolds (58K25)

Cites Work

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• Sur les exposants de Lojasiewicz
• Germs of infinite determinacy in smooth classes
• On composite ultradifferentiable functions
• Finite relative determination and relative stability
• Determinacy of smooth germs with real isolated line singularities
• Infinite determinacy on a closed set for smooth germs with non-isolated singularities
• Finite Determinacy of Smooth Map-Germs
• Infinitely Determined Mapgerms
• Pseudoanalytic extension of smooth functions. The uniform scale
• INFINITE RELATIVE DETERMINACY OF SMOOTH FUNCTION GERMS WITH TRANSVERSE ISOLATED SINGULARITIES AND RELATIVE LOJASIEWICZ CONDITIONS

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