On regularity for de Rham's functional equations

DOI10.1007/S00010-016-0439-6zbMath1360.39015arXiv1507.05829OpenAlexW1419740422MaRDI QIDQ727943

Kazuki Okamura

Publication date: 21 December 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05829

zbMATH Keywords

regularitysingularitymetric spacede Rham's functional equations

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (3)

Pointwise regularity of parameterized affine zipper fractal curves ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ Some results for conjugate equations

Cites Work

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• On the range of self-interacting random walks on an integer interval
• Singularity results for functional equations driven by linear fractional transformations
• A remark on continuous, nowhere differentiable functions
• A geometric construction of continuous, strictly increasing singular functions
• On the critical case of Okamoto's continuous non-differentiable functions
• Functional equations for peculiar functions
• A New Singular Function
• Functional Equations and Inequalities with Applications
• The Takagi function and its generalization
• On the structure of self-similar sets
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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