Geodesic
Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Modeling, Tome 188 (2020), pp. 70-75

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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, conformally convex function.
Mots-clés : Legendre transform 
@article{INTO_2020_188_a5,
     author = {M. V. Kurkina and V. V. Slavskii},
     title = {Homogeneous functions on {Hilbert} spaces and quasiconformal transformations of a sphere},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {70--75},
     publisher = {mathdoc},
     volume = {188},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_188_a5/}
}
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M. V. Kurkina; V. V. Slavskii. Homogeneous functions on Hilbert spaces and quasiconformal transformations of a sphere. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Modeling, Tome 188 (2020), pp. 70-75. http://geodesic.mathdoc.fr/item/INTO_2020_188_a5/