Universal \(p\)-adic series

DOI10.1016/j.crma.2010.12.006zbMath1219.26021OpenAlexW1993808086MaRDI QIDQ627266

Augustin Mouze

Publication date: 21 February 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.12.006

zbMATH Keywords

universal series\(p\)-adic continuous functions

Mathematics Subject Classification ID

Non-Archimedean analysis (26E30)

Cites Work

• Universal Taylor series
• The Weierstrass-Stone approximation theorem for \(p\)-adic \(C^ n\)- functions
• \(p\)-adic numbers: An introduction.
• Baire's category theorem and trigonometric series
• Approximation by overconvergence of a power series
• Universal families and hypercyclic operators
• Abstract theory of universal series and applications
• The Weierstrass Theorem in Fields with Valuations
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