Concepedia

S. K. Vodopyanov

SK

41

Publications

1.2K

Citations

20

H-Index

1975

Active since

Affiliations

Sobolev Institute of Mathematics(Current)

Russian Academy of Sciences

Novosibirsk State University

Novosibirsk Tuberculosis Research Institute

S. K. Vodopyanov is an author at Sobolev Institute of Mathematics specializing in functional analysis, geometry, and integral geometry.

Top concepts

Functional AnalysisGeometryEngineeringIntegral GeometrySpectral TheoryRepresentation TheoryEducationInverse ProblemsLinear GroupsGeometric Group Theory

Publications per year

1975–2022

41

Publications

41

Quasiconformal mappings and spaces of functions with generalized first derivatives

S. K. Vodopyanov, V. M. Gol′dshteĭn · Siberian Mathematical Journal · 1977 · 119 citations

Generalized Function, Function Theory, Global Analysis +4

Sobolev spaces and (P,Q)-quasiconformal mappings of carnot groups

S. K. Vodopyanov, Alexander Ukhlov · Siberian Mathematical Journal · 1998 · 114 citations

Carnot Groups, Lie Group, Quasiconformal Mapping +1

ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES

S. K. Vodopyanov, V. M. Gol′dshteĭn, Yu. G. Reshetnyak · Russian Mathematical Surveys · 1979 · 80 citations

Integral Geometry, Contentsintroductionchapter 1, Engineering +8

Monotone functions and quasiconformal mappings on Carnot groups

S. K. Vodopyanov · Siberian Mathematical Journal · 1996 · 64 citations

Coxeter Group, Quasiconformal Mapping, Monotone Functions +1

Lattice isomorphisms of the spaces W n 1 and quasiconformal mappings

S. K. Vodopyanov, V. M. Gol′dshteĭn · Siberian Mathematical Journal · 1975 · 59 citations

Lattice Isomorphisms, Lattice (Order), Spaces W +6

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