A new form of the Hensel factorization for Taylor series with analytic coefficients

DOI10.1016/0019-3577(90)90030-QzbMath0717.12004MaRDI QIDQ753867

Alain Escassut

Publication date: 1990

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

power seriesfactorizationcomplete ultrametric fieldalgebra of analytic elements

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Cites Work

• Maximum principle for analytic elements and Lubin-Hensel's theorem in \(H(D)Y\)
• Lubin-Hensel factorization for Laurent series
• T-filtres, ensembles analytiques et transformation de Fourier \(p\)-adique
• Éléments analytiques et filtres perces sur un ensemble infraconnexe
• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Canonical Subgroups of Formal Groups
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