Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis

zbMath1173.26326arXivmath/0609041MaRDI QIDQ2469102

Helge Glöckner

Publication date: 4 February 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609041

zbMATH Keywords

weak differentiabilitydifferentiable mapdifferentiability propertydirectional difference quotientnon-archimedian analysispartial difference quotient

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Derivatives of functions in infinite-dimensional spaces (46G05) Non-Archimedean analysis (26E30) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (7)

Fractional non-Archimedean calculus in many variables ⋮ Approximations and Lipschitz continuity in \(p\)-adic semi-algebraic and subanalytic geometry ⋮ Analytic van der Corput lemma for \(p\)-adic and \(\mathbf F_q((t))\) oscillatory integrals, singular Fourier transforms, and restriction theorems ⋮ Distributions and wave front sets in the uniform non‐archimedean setting ⋮ Exponential laws for ultrametric partially differentiable functions and applications ⋮ Integrability of oscillatory functions on local fields: transfer principles ⋮ Evaluation of motivic functions, non-nullity, and integrability in fibers

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