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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 188, Pages 70–75 (Mi into741)
Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere

M. V. Kurkina, V. V. Slavskii

Yugra State University, Khanty-Mansiysk

Abstract: By using homogeneous functions in a Hilbert space, a wide class of quasiconformal transformations of the sphere is constructed and examined.

Keywords: homogeneous function, conformally flat metric, quasiconformal mapping, Legendre transform, conformally convex function.

UDC: 514.822

MSC: 53A07

DOI: 10.36535/0233-6723-2020-188-70-75


 English version: Journal of Mathematical Sciences (New York), 2025, 287:6, 884–889

© Steklov Math. Inst. of RAS, 2025