English

Systems of functional equations, the generalized shift, and modelling pathological functions

Classical Analysis and ODEs 2025-06-24 v2

Abstract

The present article is devoted to one class of generalizations of the Salem functions. To construct such functions by systems of functional equations, the generalized shift operator is used.

Keywords

Cite

@article{arxiv.2311.05625,
  title  = {Systems of functional equations, the generalized shift, and modelling pathological functions},
  author = {Symon Serbenyuk},
  journal= {arXiv preprint arXiv:2311.05625},
  year   = {2025}
}

Comments

13 pages, a generalization of arXiv:2001.08157

R2 v1 2026-06-28T13:16:40.458Z