Weierstrass-like functions on local fields and their \(p\)-adic derivatives

DOI10.1016/j.chaos.2005.09.017zbMath1106.28003OpenAlexW1989673632MaRDI QIDQ2497606

Hua Qiu, Wei Yi Su

Publication date: 4 August 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.09.017

zbMATH Keywords

Weierstrass functionfractional derivative\(p\)-series local field

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Fractals (28A80)

Related Items

\(p\)-adic Laplacian in local fields ⋮ Eigenfrequencies of nonisotropic fractal drums ⋮ WEIERSTRASS-TYPE FUNCTIONS IN p-ADIC LOCAL FIELDS ⋮ Two-dimensional wave equations with fractal boundaries ⋮ Distributional dimension of fractal sets in local fields ⋮ Gibbs–Butzer derivatives overp-adic fields ⋮ 3-adic Cantor function on local fields and its \(p\)-adic derivative ⋮ On Hausdorff dimension of certain Riesz product in local fields ⋮ FRACTAL SETS IN THE FIELD OF p-ADIC ANALOGUE OF THE COMPLEX NUMBERS

Cites Work

• Pseudo-differential operators and derivatives on locally compact Vilenkin groups
• Fourier Analysis on Local Fields. (MN-15)
• Gibbs–butzer derivatives and their applications¹
• Unnamed Item
• Unnamed Item
• Unnamed Item