The generalized Salem functions defined in terms of certain Cantor expansions

DOI10.1007/s41478-023-00711-2MaRDI QIDQ6649402

Symon Serbenyuk

Publication date: 5 December 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

systems of functional equationsshift operatorcontinuous functionsnega-\(q\)-ary expansion

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Systems of functional equations and inequalities (39B72) Irrationality; linear independence over a field (11J72) Representation functions (11B34)

Related Items (1)

Relationships between singular expansions of real numbers

Cites Work

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