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: 264 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) 20 Functional analysis (46-XX) 19 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Topological groups, Lie groups (22-XX) 10 Operator theory (47-XX) 7 Differential geometry (53-XX) 6 Integral transforms, operational calculus (44-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 32 Publications have been cited 167 times in 111 Documents Cited by ▼ Year ▼ Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. Zbl 1175.43001Belkina, E. S.; Platonov, S. S. 31 2008 Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015Platonov, S. S. 20 2007 The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces. Zbl 1150.42307Platonov, S. S. 16 2005 Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009Platonov, S. S. 12 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 1407.33015Platonov, S. S. 12 2019 Fourier-Jacobi harmonic analysis and approximation of functions. Zbl 1296.41006Platonov, S. S. 10 2014 Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063Platonov, S. S. 10 2009 An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116Platonov, Sergey S. 6 2017 An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004Platonov, Sergey S. 6 2017 Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016Platonov, S. S. 4 2001 Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002Platonov, Sergey S. 4 2019 An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005Platonov, S. S. 3 2018 Approximation of functions in the \(L_2\)-metric on noncompact symmetric spaces of rank 1. Zbl 0952.41023Platonov, S. S. 3 1999 Spectral synthesis in some topological vector spaces of functions. Zbl 1250.46019Platonov, S. S. 3 2011 Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009Platonov, Sergey S. 3 2019 Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010Platonov, S. S. 2 1983 Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053Platonov, Sergey S. 2 2018 On spectral synthesis on zero-dimensional abelian groups. Zbl 1286.43006Platonov, S. S. 2 2013 Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013Platonov, S. S. 2 1997 Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090Platonov, S. S. 2 2004 On the structure of exponential monomials on some locally compact abelian groups. Zbl 1291.43004Platonov, S. S. 2 2012 On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006Platonov, S. S. 2 2021 Certain approximation problems for functions on the infinite-dimensional torus: analogs of the Jackson theorem. Zbl 1326.41020Platonov, S. S. 1 2015 On spectral synthesis on element-wise compact Abelian groups. Zbl 1353.43003Platonov, S. S. 1 2015 Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004Platonov, S. S. 1 1984 Generalized Bessel shifts and some inverse theorems in the theory of approximation of functions on a half-line. Zbl 1190.41006Platonov, S. S. 1 2007 Spectral synthesis in the space of functions of exponential growth on a finitely generated abelian group. Zbl 1284.43005Platonov, S. S. 1 2013 About some approach to the theory of Nikol’skij-Besov spaces on homogeneous manifolds. Zbl 0978.43005Platonov, S. S. 1 2000 Generalized Bessel shifts and some problems in the theory of approximations of functions in the metric \(L_2\). II. Zbl 1160.41306Platonov, S. S. 1 2001 Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003Platonov, Sergey S. 1 2020 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 1437.33009Platonov, S. S. 1 2020 On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis. Zbl 1476.42003Platonov, S. S. 1 2020 On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006Platonov, S. S. 2 2021 Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003Platonov, Sergey S. 1 2020 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 1437.33009Platonov, S. S. 1 2020 On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis. Zbl 1476.42003Platonov, 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 1407.33015Platonov, S. S. 12 2019 Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002Platonov, Sergey S. 4 2019 Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009Platonov, Sergey S. 3 2019 An analog of Titchmarsh’s theorem for the Fourier-Walsh transform. Zbl 1393.42005Platonov, S. S. 3 2018 Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053Platonov, Sergey S. 2 2018 An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116Platonov, Sergey S. 6 2017 An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004Platonov, Sergey S. 6 2017 Certain approximation problems for functions on the infinite-dimensional torus: analogs of the Jackson theorem. Zbl 1326.41020Platonov, S. S. 1 2015 On spectral synthesis on element-wise compact Abelian groups. Zbl 1353.43003Platonov, S. S. 1 2015 Fourier-Jacobi harmonic analysis and approximation of functions. Zbl 1296.41006Platonov, S. S. 10 2014 On spectral synthesis on zero-dimensional abelian groups. Zbl 1286.43006Platonov, S. S. 2 2013 Spectral synthesis in the space of functions of exponential growth on a finitely generated abelian group. Zbl 1284.43005Platonov, S. S. 1 2013 On the structure of exponential monomials on some locally compact abelian groups. Zbl 1291.43004Platonov, S. S. 2 2012 Spectral synthesis in some topological vector spaces of functions. Zbl 1250.46019Platonov, S. S. 3 2011 Some problems in the theory of approximation of functions on compact homogeneous manifolds. Zbl 1186.41009Platonov, S. S. 12 2009 Bessel generalized translations and some problems of approximation theory for functions on the half-line. Zbl 1224.41063Platonov, S. S. 10 2009 Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. Zbl 1175.43001Belkina, E. S.; Platonov, S. S. 31 2008 Bessel harmonic analysis and approximation of functions on the half-line. Zbl 1135.41015Platonov, S. S. 20 2007 Generalized Bessel shifts and some inverse theorems in the theory of approximation of functions on a half-line. Zbl 1190.41006Platonov, S. S. 1 2007 The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces. Zbl 1150.42307Platonov, S. S. 16 2005 Expansion in eigenfunctions for some functional-differential operators. Zbl 1282.34090Platonov, S. S. 2 2004 Jackson-type theorems for compact symmetric spaces of rank 1. Zbl 0977.41016Platonov, S. S. 4 2001 Generalized Bessel shifts and some problems in the theory of approximations of functions in the metric \(L_2\). II. Zbl 1160.41306Platonov, S. S. 1 2001 About some approach to the theory of Nikol’skij-Besov spaces on homogeneous manifolds. Zbl 0978.43005Platonov, S. S. 1 2000 Approximation of functions in the \(L_2\)-metric on noncompact symmetric spaces of rank 1. Zbl 0952.41023Platonov, S. S. 3 1999 Approximations on compact symmetric spaces of rank 1. Zbl 0891.41013Platonov, S. S. 2 1997 Invariant subspaces in certain function spaces on the simplest solvable Lie group. Zbl 0558.43004Platonov, S. S. 1 1984 Invariant subspaces in some functional spaces on the group SL(2,C). Zbl 0521.22010Platonov, S. S. 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 83 Authors 36 Daher, Radouan 15 El Hamma, Mohamed 15 Platonov, Sergei S. 9 El Ouadih, Salah 9 Volosivets, Sergeĭ Sergeevich 8 Tyr, Othman 7 Gorbachëv, Dmitriĭ Viktorovich 6 Ivanov, Valerĭ Ivanovich 5 Boujeddaine, Mustapha 4 Jordão, Thaís 4 Menegatto, Valdir Antonio 4 Vinogradov, Oleg Leonidovich 3 Djellab, Nisrine 3 Khalil, Chaimaa 3 Rakhimi, Larbi 3 Safouane, Najat 3 Tikhonov, Sergey Yur’evich 2 Achak, Azzedine 2 Barbosa, Victor S. 2 Belkhadir, Abdelhak 2 Bouhlal, Aziz 2 Fahlaoui, Said 2 Fernandez, Arran 2 Golubov, Boris Ivanovich 2 Lafdal, Hamad Sidi 2 Mahfoud, Ayoub 2 Restrepo, Joel Esteban 2 Ruzhansky, Michael V. 2 Saadi, Faouaz 1 Akhlidj, Abdellatif 1 Bayrakci, Simten 1 Bonfim, Rafaela N. 1 Burlutskaya, Marija Shaukatovna 1 Carrijo, A. O. 1 Dahani, Afaf 1 Delgado, Julio 1 Dobrovol’skiĭ, Nikolai Nikolaevich 1 El Fourchi, Omar 1 El Haoui, Youssef 1 El Kassimi, Mohammed 1 El Mfadel, Ali 1 Elgadiri, Fatima 1 Elgargati, Abdelghani 1 Elomari, M’Hamed 1 Ganzburg, Michael Iosifovich 1 Glyzin, Sergeĭ Dmitrievich 1 Gregori, Pablo 1 Guliyev, Vagif Sabir 1 Haouala, Iness 1 Horváth, Ágota P. 1 Ibrahimov, Elman J. 1 Igbida, Jaouad 1 Khadari, Abdelmajid 1 Kolesov, Andreĭ Yur’evich 1 Krishtal, Ilya Arkadievich 1 Kumar, Vishvesh 1 Kushpel, Alexander K. 1 Kuznetsova, Mariya Andreevna 1 Lahlali, Hind 1 Levesley, Jeremy 1 Li, Iong Ping 1 Litvinov, Grigory Lazarevich 1 Loginov, Aleksei I. 1 Loualid, El Mehdi 1 Lyakhov, Lev Nikolaevich 1 Negzaoui, Selma 1 Nikitina, A. A. 1 Ofitserov, Evgeniĭ Petrovich 1 Oukili, Sara 1 Peron, Ana Paula 1 Porcu, Emilio 1 Shul’man, Viktor Semënovich 1 Sindhe, Yashodha S. 1 Smirnov, Oleg Igorevich 1 Su, Chunmei 1 Suragan, Durvudkhan 1 Székelyhidi, László 1 Tozoni, Sergio Antonio 1 Uskova, Natal’ya Borisovna 1 Volchkov, Valeriĭ Vladimirovich 1 Volchkov, Vitaliĭ Vladimirovich 1 Waphare, B. B. 1 Zayed, Mohra all top 5 Cited in 53 Serials 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 8 Mathematical Notes 8 Integral Transforms and Special Functions 7 Journal of Pseudo-Differential Operators and Applications 4 Journal of Mathematical Analysis and Applications 4 Results in Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 The Journal of Analysis 3 Journal of Mathematical Sciences (New York) 3 Mediterranean Journal of Mathematics 3 Afrika Matematika 2 Journal of Approximation Theory 2 Journal of Soviet Mathematics 2 Monatshefte für Mathematik 2 Constructive Approximation 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Advances in Applied Clifford Algebras 2 Sbornik: Mathematics 2 Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Chebyshevskiĭ Sbornik 2 Analysis and Mathematical Physics 2 Asia Pacific Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Siberian Mathematical Journal 1 Potential Analysis 1 Tatra Mountains Mathematical Publications 1 St. Petersburg Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Journal of Fourier Analysis and Applications 1 Positivity 1 Lobachevskii Journal of Mathematics 1 Nihonkai Mathematical Journal 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Complex Analysis and Operator Theory 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Banach Journal of Mathematical Analysis 1 Advances in Pure and Applied Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Carpathian Mathematical Publications 1 Problemy Analiza. Issues of Analysis 1 Journal of Mathematics 1 Open Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 Ural Mathematical Journal 1 Constructive Mathematical Analysis all top 5 Cited in 24 Fields 56 Harmonic analysis on Euclidean spaces (42-XX) 31 Approximations and expansions (41-XX) 30 Integral transforms, operational calculus (44-XX) 29 Special functions (33-XX) 23 Functional analysis (46-XX) 20 Abstract harmonic analysis (43-XX) 17 Operator theory (47-XX) 9 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 4 Topological groups, Lie groups (22-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-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