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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 188, Pages 70–75
DOI: https://doi.org/10.36535/0233-6723-2020-188-70-75 (Mi into741) 		 
Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere

M. V. Kurkina, V. V. Slavskii

Yugra State University, Khanty-Mansiysk
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DOI: https://doi.org/10.36535/0233-6723-2020-188-70-75
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-47-860016
18-01-00620
Science Foundation of the Ugra State University 13-01-20/10
This work was supported by the Russian Foundation for Basic Research (project Nos. 18-47-860016 and 18-01-00620) and the Science Foundation of the Ugra State University (project No. 13-01-20/10).
Document Type: Article
UDC: 514.822
MSC: 53A07
Language: Russian
Citation: M. V. Kurkina, V. V. Slavskii, “Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere”, Differential Equations and Mathematical Modeling, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 188, VINITI, Moscow, 2020, 70–75
Citation in format AMSBIB
\Bibitem{KurSla20}
\by M.~V.~Kurkina, V.~V.~Slavskii
\paper Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere
\inbook Differential Equations and Mathematical Modeling
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 188
\pages 70--75
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into741}
\crossref{https://doi.org/10.36535/0233-6723-2020-188-70-75}
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