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- W178455763 abstract "Publisher Summary This chapter explores the isomorphisms θ of G for which the boundary function φ exists and is quasisymmetric, that is, there is a ρ ≥1 such that the inequality 1/ρ ≤ [φ(x+ t) – φ (x)] / [φ (x) – φ (x – t)] ≤ ρ holds for every real x and t > 0. Then, φ admits a quasiconformal extension to U. For finitely generated groups G, there is always a quasiconformal extension that induces φ by a theorem of Bers and Greenberg. The chapter presents an implicit characterization for the solvability of the boundary value problem. A quasiconformal mapping inducing θ exists if inequality holds for some ." @default.
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- W178455763 date "1974-01-01" @default.
- W178455763 modified "2023-09-24" @default.
- W178455763 title "Group Isomorphisms Induced by Quasiconformal Mappings" @default.
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- W178455763 doi "https://doi.org/10.1016/b978-0-12-044850-0.50026-5" @default.
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