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// 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
Fulltext:
PDF file (271 kB)
References
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Steklov Math. Inst. of RAS
, 2024