Uniformly quasisymmetric groups

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An increasing homeomorphism f of the real line R onto itself is K-quasisymmetric if holds for all x ∈ R, t ≠ 0. A K-quasisymmetric group is a group of K-quasisymmetric mappings under composition of functions. It is proved that if G is a K-quasisymmetric group, then there exists a quasisymmetric function f such that fao Go f is a group of linear functions.

Original languageEnglish (US)
Pages (from-to)318-338
Number of pages21
JournalProceedings of the London Mathematical Society
Issue number2
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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