Advances in Ultrametric Analysis

DOI10.1090/conm/596zbMath1321.26059OpenAlexW1507866792MaRDI QIDQ5892179

Khodr Shamseddine

Publication date: 24 September 2015

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/596

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) (p)-adic and power series fields (11D88) Non-Archimedean analysis (26E30)

Related Items (12)

On a new measure on the Levi-Civita field \(\mathcal{R}\) ⋮ Number of zeros of exponential polynomials in zero residue characteristic ⋮ On computational applications of the Levi-Civita field ⋮ Hyper-power series and generalized real analytic functions ⋮ On analytic functions in an ordered field with an infinite rank valuation ⋮ A new proof of the ultrametric Hermite-Lindermann theorem [A new proof of the ultrametric Hermite-Lindemann theorem] ⋮ Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers ⋮ On integrable delta functions on the Levi-Civita field ⋮ Hyperseries in the non-Archimedean ring of Colombeau generalized numbers ⋮ On the topological structure of a Hahn field and convergence of power series ⋮ Growth of analytic functions in an ultrametric open disk and branched values ⋮ On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field

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