Edit Profile (opens in new tab) Platonov, Sergei S. Co-Author Distance Author ID: platonov.sergei-s Published as: Platonov, S. S.; Platonov, Sergey S.; Platonov, Sergei S. more...less External Links: ResearchGate · Math-Net.Ru Documents Indexed: 70 Publications since 1981 Reviewing Activity: 266 Reviews Co-Authors: 1 Co-Author with 1 Joint Publication 1 Co-Co-Author Co-Authors 69 single-authored 1 Belkina, E. S. all top 5 Serials 11 Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika 7 Mathematical Notes 6 Izvestiya: Mathematics 6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 5 St. Petersburg Mathematical Journal 5 Sbornik: Mathematics 4 Integral Transforms and Special Functions 4 Doklady Mathematics 3 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics. Doklady 2 Soviet Mathematics 2 Russian Mathematics 1 Moscow University Mathematics Bulletin 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematica Scandinavica 1 Siberian Mathematical Journal 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 The Journal of Fourier Analysis and Applications 1 Fundamental’naya i Prikladnaya Matematika 1 Problemy Analiza. Issues of Analysis 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 37 Abstract harmonic analysis (43-XX) 19 Approximations and expansions (41-XX) 19 Functional analysis (46-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Topological groups, Lie groups (22-XX) 10 Operator theory (47-XX) 7 Integral transforms, operational calculus (44-XX) 7 Differential geometry (53-XX) 5 Special functions (33-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 283 times in 172 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. 39 2008 Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015 Platonov, S. S. 36 2007 The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces. Zbl 1150.42307 Platonov, S. S. 27 2005 Fourier-Jacobi harmonic analysis and approximation of functions. Zbl 1296.41006 Platonov, S. S. 20 2014 Approximation of functions in the \(L_2\)-metric on noncompact symmetric spaces of rank 1. Zbl 0952.41023 Platonov, S. S. 18 1999 Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009 Platonov, S. S. 18 2009 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. 16 2019 Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063 Platonov, S. S. 15 2009 An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004 Platonov, Sergey S. 11 2017 An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116 Platonov, Sergey S. 9 2017 On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006 Platonov, S. S. 6 2021 Certain approximation problems for functions on the infinite-dimensional torus: analogs of the Jackson theorem. Zbl 1326.41020 Platonov, S. S. 6 2015 Generalized Bessel shifts and some problems in the theory of approximations of functions in the metric \(L_2\). II. Zbl 1160.41306 Platonov, S. S. 5 2001 Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002 Platonov, Sergey S. 5 2019 Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016 Platonov, S. S. 5 2001 An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005 Platonov, S. S. 4 2018 Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013 Platonov, S. S. 3 1997 Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004 Platonov, S. S. 3 1984 Spectral synthesis in some topological vector spaces of functions. Zbl 1250.46019 Platonov, S. S. 3 2011 Invariant subspaces of some functional spaces on the group of motions of the Euclidean plane. Zbl 0725.43005 Platonov, S. S. 3 1990 Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in \(L_2\) metric: Nikol’skii-Besov type function spaces. Zbl 1437.33009 Platonov, S. S. 3 2020 Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009 Platonov, Sergey S. 3 2019 Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053 Platonov, Sergey S. 3 2018 Invariant subspaces in some function spaces on symmetric spaces. III. Zbl 1028.43014 Platonov, S. S. 2 2002 Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010 Platonov, S. S. 2 1983 Invariant subspaces in some function spaces on the light cone in \( \mathbb R^3\). Zbl 1275.43007 Platonov, S. S. 2 2012 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. 2 2013 Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090 Platonov, S. S. 2 2004 Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003 Platonov, Sergey S. 2 2020 On the structure of exponential monomials on some locally compact abelian groups. Zbl 1291.43004 Platonov, S. S. 2 2012 Spectral synthesis on symmetric spaces of rank 1. Zbl 0798.43007 Platonov, S. S. 1 1992 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 On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis. Zbl 1476.42003 Platonov, S. S. 1 2020 Theorems of the Jackson type on a compact symmetric space of rank 1. Zbl 0971.41019 Platonov, S. S. 1 1997 About some approach to the theory of Nikol’skij-Besov spaces on homogeneous manifolds. Zbl 0978.43005 Platonov, S. S. 1 2000 On spectral synthesis on element-wise compact Abelian groups. Zbl 1353.43003 Platonov, S. S. 1 2015 On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006 Platonov, S. S. 6 2021 Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in \(L_2\) metric: Nikol’skii-Besov type function spaces. Zbl 1437.33009 Platonov, S. S. 3 2020 Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003 Platonov, Sergey S. 2 2020 On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis. Zbl 1476.42003 Platonov, S. S. 1 2020 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. 16 2019 Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002 Platonov, Sergey S. 5 2019 Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009 Platonov, Sergey S. 3 2019 An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005 Platonov, S. S. 4 2018 Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053 Platonov, Sergey S. 3 2018 An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004 Platonov, Sergey S. 11 2017 An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116 Platonov, Sergey S. 9 2017 Certain approximation problems for functions on the infinite-dimensional torus: analogs of the Jackson theorem. Zbl 1326.41020 Platonov, S. S. 6 2015 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. 20 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. 2 2013 Invariant subspaces in some function spaces on the light cone in \( \mathbb R^3\). Zbl 1275.43007 Platonov, S. S. 2 2012 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. 3 2011 Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009 Platonov, S. S. 18 2009 Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063 Platonov, S. S. 15 2009 Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. Zbl 1175.43001 Belkina, E. S.; Platonov, S. S. 39 2008 Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015 Platonov, S. S. 36 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. 27 2005 Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090 Platonov, S. S. 2 2004 Invariant subspaces in some function spaces on symmetric spaces. III. Zbl 1028.43014 Platonov, S. S. 2 2002 Generalized Bessel shifts and some problems in the theory of approximations of functions in the metric \(L_2\). II. Zbl 1160.41306 Platonov, S. S. 5 2001 Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016 Platonov, S. S. 5 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. 18 1999 Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013 Platonov, S. S. 3 1997 Theorems of the Jackson type on a compact symmetric space of rank 1. Zbl 0971.41019 Platonov, S. S. 1 1997 Spectral synthesis on symmetric spaces of rank 1. Zbl 0798.43007 Platonov, S. S. 1 1992 Invariant subspaces of some functional spaces on the group of motions of the Euclidean plane. Zbl 0725.43005 Platonov, S. S. 3 1990 Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004 Platonov, S. S. 3 1984 Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010 Platonov, S. S. 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 115 Authors 51 Daher, Radouan 17 El Hamma, Mohamed 17 El Ouadih, Salah 16 Platonov, Sergei S. 15 Tyr, Othman 15 Volosivets, Sergeĭ Sergeevich 9 Ivanov, Valerĭ Ivanovich 8 Gorbachëv, Dmitriĭ Viktorovich 6 Jordão, Thaís 5 Boujeddaine, Mustapha 4 Mahfoud, Ayoub 4 Menegatto, Valdir Antonio 4 Restrepo, Joel Esteban 4 Saadi, Faouaz 4 Vinogradov, Oleg Leonidovich 3 Djellab, Nisrine 3 Elgargati, Abdelghani 3 Horváth, Ágota P. 3 Khalil, Chaimaa 3 Kumar, Vishvesh 3 Lafdal, Hamad Sidi 3 Rakhimi, Larbi 3 Ruzhansky, Michael V. 3 Safouane, Najat 3 Tikhonov, Sergey Yur’evich 2 Achak, Azzedine 2 Barbosa, Victor S. 2 Belkhadir, Abdelhak 2 Bouhlal, Aziz 2 Bouzeffour, Fethi 2 Carrijo, A. O. 2 El Haoui, Youssef 2 Fahlaoui, Said 2 Fernandez, Arran 2 Golubov, Boris Ivanovich 2 Jedidi, Wissem 2 Loualid, El Mehdi 2 Peron, Ana Paula 2 Volchkov, Valeriĭ Vladimirovich 2 Volchkov, Vitaliĭ Vladimirovich 1 Ahmad, Owais 1 Akhlidj, Abdellatif 1 Aledawish, Saliha 1 Aliev, Rashid Avazaga 1 Arestov, Vitaliĭ Vladimirovich 1 Aristov, Oleg Yu. 1 Athira, N. R. 1 Bayrakci, Simten 1 Bonfim, Rafaela N. 1 Boubatra, Mohamed Amine 1 Britvina, Lyubov’ E. 1 Burlutskaya, Marija Shaukatovna 1 Dahani, Afaf 1 De Castro, Mario H. 1 Deikalova, Marina Valer’evna 1 Delgado, Julio 1 Dobrovol’skiĭ, Nikolai Nikolaevich 1 El Fourchi, Omar 1 El Kassimi, Mohammed 1 El Mfadel, Ali 1 Elgadiri, Fatima 1 Elomari, M’Hamed 1 Farkov, Yuriĭ Anatol’evich 1 Fernández, Emilio 1 Fufaev, D. V. 1 Ganzburg, Michael Iosifovich 1 Glyzin, Sergeĭ Dmitrievich 1 Gregori, Pablo 1 Guliyev, Vagif Sabir 1 Haouala, Iness 1 Ibrahimov, Elman J. 1 Igbida, Jaouad 1 Ismayilov, Eldost 1 Khadari, Abdelmajid 1 Kolesov, Andreĭ Yur’evich 1 Kolomoitsev, Yurii S. 1 Krishtal, Ilya Arkadievich 1 Krotova, Yu. I. 1 Krukowski, Mateusz 1 Kushpel, Alexander K. 1 Kuznetsova, Mariya Andreevna 1 Lahlali, Hind 1 Lasuriya, Robert Andreevich 1 Levesley, Jeremy 1 Li, Iong Ping 1 Lineesh, M. C. 1 Litvinov, Grigory Lazarevich 1 Loginov, Aleksei I. 1 Lomako, Tetiana 1 Loualid, M. El 1 Lyakhov, Lev Nikolaevich 1 Nadi, M. 1 Negzaoui, Selma 1 Nikitina, A. A. 1 Ofitserov, Evgeniĭ Petrovich 1 Oukili, Sara 1 Porcu, Emilio 1 Prestin, Jurgen 1 Roncal, Luz 1 Sadek, El Mostafa ...and 15 more Authors all top 5 Cited in 65 Serials 14 Mathematical Notes 14 Integral Transforms and Special Functions 12 Journal of Pseudo-Differential Operators and Applications 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Journal of Mathematical Sciences (New York) 5 Results in Mathematics 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Journal of Mathematical Analysis and Applications 4 Mediterranean Journal of Mathematics 4 Chebyshevskiĭ Sbornik 3 Potential Analysis 3 The Journal of Analysis 3 Advances in Applied Clifford Algebras 3 Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Mathematical Physics 3 Afrika Matematika 3 Problemy Analiza. Issues of Analysis 3 Asia Pacific Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Journal of Approximation Theory 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Constructive Approximation 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Sbornik: Mathematics 2 Positivity 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Complex Analysis and Operator Theory 1 Acta Mathematica Vietnamica 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Siberian Mathematical Journal 1 Tatra Mountains Mathematical Publications 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Lobachevskii Journal of Mathematics 1 Nihonkai Mathematical Journal 1 Moscow Mathematical Journal 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Banach Journal of Mathematical Analysis 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Advances in Pure and Applied Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Caspian Journal of Mathematical Sciences 1 Carpathian Mathematical Publications 1 Journal of Mathematics 1 Open Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Advances in Operator Theory 1 Bollettino dell’Unione Matematica Italiana 1 Ural Mathematical Journal 1 Constructive Mathematical Analysis all top 5 Cited in 28 Fields 98 Harmonic analysis on Euclidean spaces (42-XX) 47 Integral transforms, operational calculus (44-XX) 45 Approximations and expansions (41-XX) 39 Abstract harmonic analysis (43-XX) 37 Special functions (33-XX) 34 Functional analysis (46-XX) 24 Operator theory (47-XX) 17 Real functions (26-XX) 10 Functions of a complex variable (30-XX) 8 Topological groups, Lie groups (22-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Numerical analysis (65-XX) 3 Potential theory (31-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year