Relationships between singular expansions of real numbers
type: Item
instance of: scholarly article
title: Relationships between singular expansions of real numbers
author: Symon Serbenyuk
published in: The Journal of Analysis
publication date: 2025-01-10T00:00:00Z
review text: In [Trans. Am. Math. Soc. 53, 427--439 (1943; Zbl 0060.13709)], \textit{R. Salem} modeled a singular function which is strictly increasing. This paper deals with properties of one map between two expansions of real numbers of the Salem type. The monotonicity, differential and integral properties of the function, and fractal properties about the graph, are considered.
reviewed by: Takao Komatsu
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11J72
Mathematics Subject Classification ID: 26A27
Mathematics Subject Classification ID: 11B34
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B72
Mathematics Subject Classification ID: 26A30
zbMATH DE Number: 7965103
zbMATH Keywords: Salem function
zbMATH Keywords: systems of functional equations
zbMATH Keywords: complicated local structure
MaRDI profile type: Publication
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Relationships between singular expansions of real numbers (DOI)
DOI: 10.1007/S41478-024-00825-1