Singular functions with applications to fractal dimensions and generalized Takagi functions
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Publication:1926068
DOI10.1007/s10440-011-9665-zzbMath1259.28008OpenAlexW1963886846MaRDI QIDQ1926068
Enrique de Amo, Juan Fernández-Sánchez, Manuel Díaz-Carrillo
Publication date: 27 December 2012
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-011-9665-z
Schauder basissingular functionHausdorff dimensionTakagi function(simply) normal numbergeneralized dyadic system
Related Items (12)
Limiting curves for the Pascal adic transformation ⋮ A singular function with a non-zero finite derivative on a dense set ⋮ A study of topological conjugacies between alternate representation systems ⋮ Lineability, spaceability, and latticeability of subsets of \(C([0, 1)\) and Sobolev spaces] ⋮ A new generalization of the Takagi function ⋮ Pisot numbers and strong negations ⋮ Singular distribution functions for random variables with stationary digits ⋮ Unnamed Item ⋮ A general treatment of alternative expectation formulae ⋮ A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic ⋮ Banach spaces and Banach lattices of singular functions ⋮ Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure
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