THE CONNECTION BETWEEN THE ORDERS OF p-ADIC CALCULUS AND THE DIMENSIONS OF THE WEIERSTRASS TYPE FUNCTION IN LOCAL FIELDS

DOI10.1142/S0218348X07003599zbMath1136.37321OpenAlexW2071859245MaRDI QIDQ3499187

Wei Yi Su, Hua Qiu

Publication date: 28 May 2008

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x07003599

zbMATH Keywords

\(p\)-adic derivative Weierstrass type function chaoslocal field \(p\)-series

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

\(p\)-adic Laplacian in local fields ⋮ WEIERSTRASS-TYPE FUNCTIONS IN p-ADIC LOCAL FIELDS ⋮ The 2-adic derivatives and fractal dimension of Takagi-like function on 2-series field ⋮ The \(p\)-adic differentiability of a class of Weierstrass type functions in local fields ⋮ Two-dimensional wave equations with fractal boundaries ⋮ Gibbs–Butzer derivatives overp-adic fields ⋮ Lipschitz classes on local fields ⋮ EIGENTIME IDENTITY OF THE WEIGHTED KOCH NETWORKS ⋮ The smoothness of fractal interpolation functions on \(\mathbb{R}\) and on \(p\)-series local fields ⋮ Fractal and Hausdorff dimensions for systems of iterative functional equations

Cites Work

• On the connection between the order of fractional calculus and the dimensions of a fractal function
• Fourier Analysis on Local Fields. (MN-15)
• Gibbs–butzer derivatives and their applications¹

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