Exponential laws for ultrametric partially differentiable functions and applications

DOI10.1134/S2070046613020039zbMath1317.26022arXiv1209.1384MaRDI QIDQ2263122

Helge Glöckner

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1384

zbMATH Keywords

differentiabilityapproximationdensitypolynomialMahler expansion\(k\)-spaceStone-Weierstrass theoremmetrizabilitynon-Archimedean analysisvalued fieldcompactly generated spacelocally polynomial function

Mathematics Subject Classification ID

Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30)

Related Items (4)

\(p\)-adic Taylor polynomials ⋮ \(p\)-adic Schrödinger representations of the higher \(p\)-adic Heisenberg groups ⋮ Differential calculus on multiple products ⋮ Differentiable mappings on products with different degrees of differentiability in the two factors

Cites Work

• Fractional non-Archimedean calculus in many variables
• Final group topologies, Kac-Moody groups and Pontryagin duality
• The Weierstrass-Stone approximation theorem for \(p\)-adic \(C^ n\)- functions
• \(p\)-adic continuously differentiable functions of several variables
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• Differentiable mappings on products with different degrees of differentiability in the two factors
• Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis
• Differential calculus over general base fields and rings.
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