An Introduction to Ultrametric Summability Theory

DOI10.1007/978-81-322-1647-6zbMath1284.40001OpenAlexW2097625692MaRDI QIDQ2851313

P. N. Natarajan

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/978-81-322-1647-6

zbMATH Keywords

double seriesTauberian theorem\(p\)-adic numbersdouble sequenceultrametric fieldNörlund methodultrametric Banach spaceSilverman-Toeplitz theoremweighted means methodultrametric analysisultrametric derivativeultrametric summability method

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02) General summability methods (40Cxx) Special methods of summability (40Gxx)

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ON BOUNDEDNESS WITH SPEED λ IN ULTRAMETRIC FIELDS ⋮ Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices

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