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Platonov, Sergei S.

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Author ID: platonov.sergei-s Recent zbMATH articles by "Platonov, Sergei S."
Published as: Platonov, S. S.; Platonov, Sergey S.; Platonov, Sergei S.
External Links: Math-Net.Ru · ResearchGate
Documents Indexed: 67 Publications since 1981
Reviewing Activity: 229 Reviews

Co-Authors

66 single-authored
1 Belkina, E. S.

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 85 times in 59 Documents Cited by Year
Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. Zbl 1175.43001
Belkina, E. S.; Platonov, S. S.
15
2008
The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces. Zbl 1150.42307
Platonov, S. S.
9
2005
Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015
Platonov, S. S.
6
2007
An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116
Platonov, Sergey S.
5
2017
An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004
Platonov, Sergey S.
5
2017
Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009
Platonov, S. S.
5
2009
Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063
Platonov, S. S.
4
2009
Fourier-Jacobi harmonic analysis and approximation of functions. Zbl 1296.41006
Platonov, S. S.
4
2014
Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002
Platonov, Sergey S.
3
2019
Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in \(L_2\) metric: Jackson’s type direct theorems. Zbl 1407.33015
Platonov, S. S.
3
2019
Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016
Platonov, S. S.
3
2001
Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009
Platonov, Sergey S.
2
2019
Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053
Platonov, Sergey S.
2
2018
An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005
Platonov, S. S.
2
2018
Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010
Platonov, S. S.
2
1983
Approximation of functions in the \(L_2\)-metric on noncompact symmetric spaces of rank 1. Zbl 0952.41023
Platonov, S. S.
2
1999
On the structure of exponential monomials on some locally compact abelian groups. Zbl 1291.43004
Platonov, S. S.
2
2012
On spectral synthesis on zero-dimensional abelian groups. Zbl 1286.43006
Platonov, S. S.
2
2013
Spectral synthesis in some topological vector spaces of functions. Zbl 1250.46019
Platonov, S. S.
2
2011
Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013
Platonov, S. S.
1
1997
Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090
Platonov, S. S.
1
2004
On spectral synthesis on element-wise compact Abelian groups. Zbl 1353.43003
Platonov, S. S.
1
2015
Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004
Platonov, S. S.
1
1984
About some approach to the theory of Nikol’skij-Besov spaces on homogeneous manifolds. Zbl 0978.43005
Platonov, S. S.
1
2000
Generalized Bessel shifts and some inverse theorems in the theory of approximation of functions on a half-line. Zbl 1190.41006
Platonov, S. S.
1
2007
Spectral synthesis in the space of functions of exponential growth on a finitely generated abelian group. Zbl 1284.43005
Platonov, S. S.
1
2013
Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002
Platonov, Sergey S.
3
2019
Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in \(L_2\) metric: Jackson’s type direct theorems. Zbl 1407.33015
Platonov, S. S.
3
2019
Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009
Platonov, Sergey S.
2
2019
Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053
Platonov, Sergey S.
2
2018
An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005
Platonov, S. S.
2
2018
An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116
Platonov, Sergey S.
5
2017
An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004
Platonov, Sergey S.
5
2017
On spectral synthesis on element-wise compact Abelian groups. Zbl 1353.43003
Platonov, S. S.
1
2015
Fourier-Jacobi harmonic analysis and approximation of functions. Zbl 1296.41006
Platonov, S. S.
4
2014
On spectral synthesis on zero-dimensional abelian groups. Zbl 1286.43006
Platonov, S. S.
2
2013
Spectral synthesis in the space of functions of exponential growth on a finitely generated abelian group. Zbl 1284.43005
Platonov, S. S.
1
2013
On the structure of exponential monomials on some locally compact abelian groups. Zbl 1291.43004
Platonov, S. S.
2
2012
Spectral synthesis in some topological vector spaces of functions. Zbl 1250.46019
Platonov, S. S.
2
2011
Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009
Platonov, S. S.
5
2009
Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063
Platonov, S. S.
4
2009
Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. Zbl 1175.43001
Belkina, E. S.; Platonov, S. S.
15
2008
Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015
Platonov, S. S.
6
2007
Generalized Bessel shifts and some inverse theorems in the theory of approximation of functions on a half-line. Zbl 1190.41006
Platonov, S. S.
1
2007
The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces. Zbl 1150.42307
Platonov, S. S.
9
2005
Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090
Platonov, S. S.
1
2004
Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016
Platonov, S. S.
3
2001
About some approach to the theory of Nikol’skij-Besov spaces on homogeneous manifolds. Zbl 0978.43005
Platonov, S. S.
1
2000
Approximation of functions in the \(L_2\)-metric on noncompact symmetric spaces of rank 1. Zbl 0952.41023
Platonov, S. S.
2
1999
Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013
Platonov, S. S.
1
1997
Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004
Platonov, S. S.
1
1984
Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010
Platonov, S. S.
2
1983

Citations by Year