Applications of functional analysis to the solution of power series equations

DOI10.1007/BF01420205zbMath0413.13015OpenAlexW2038819111MaRDI QIDQ1260084

Joseph Becker, William R. Zame

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182799

zbMATH Keywords

Frechet algebra topologyopen homomorphism between analytic ringspower series equations

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Power series rings (13J05) Analytic algebras and generalizations, preparation theorems (32B05) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items

Relations among analytic functions. I ⋮ Homomorphisms of local algebras in positive characteristic ⋮ Linear complementary inequalities for orders of germs of analytic functions ⋮ On Gabrielov's regularity condition for analytic mappings ⋮ On the nonflatness of analytic tensor product ⋮ Solving power series equations. II: Change of ground field ⋮ A proof of A. Gabrielov's rank theorem ⋮ The rank condition and convergence of formal functions ⋮ Geometric and differential properties of subanalytic sets

Cites Work

• Exposé on a conjecture of Tougeron
• When \(\varphi(f)\) convergent implies \(f\) is convergent
• Analytic and polynomial homomorphisms of analytic rings
• Projective and injective limits of weakly compact sequences of locally convex spaces
• On the solutions of analytic equations
• Algebraic approximation of structures over complete local rings
• Two Notes on Formal Power Series
• FORMAL RELATIONS BETWEEN ANALYTIC FUNCTIONS
• Curves with Large Tangent Space
• Uniqueness of Topology for Commutative Semisimple F-Algebras
• Embedding the Algebra of Formal Power Series in a Banach Algebra
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