Edit Profile (opens in new tab) Antonov, Nikolai Yu. Author ID: antonov.nikolai-yu Published as: Antonov, N. Yu.; Antonov, Nikolai Yu. Documents Indexed: 14 Publications since 1996 Co-Authors 14 single-authored all top 5 Serials 5 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Notes 1 Journal of Mathematical Sciences (New York) 1 East Journal on Approximations 1 Izvestiya: Mathematics 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Ural Mathematical Journal Fields 14 Harmonic analysis on Euclidean spaces (42-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 9 Publications have been cited 62 times in 50 Documents Cited by ▼ Year ▼ Convergence of Fourier series. Zbl 0919.42004Antonov, N. Yu. 43 1996 On the convergence almost everywhere of multiple trigonometric Fourier series over cubes. Zbl 1062.42004Antonov, N. Yu. 7 2004 Conditions for the finiteness of majorants for sequences of operators and convergence of Fourier series. Zbl 1147.42301Antonov, N. Yu. 4 2001 On the almost everywhere convergence of sequences of multiple rectangular Fourier sums. Zbl 1312.42009Antonov, N. Yu. 2 2009 Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity. Zbl 1072.42003Antonov, N. Yu. 2 2004 On divergence almost everywhere of Fourier series of continuous functions of two variables. Zbl 1310.42003Antonov, N. Yu. 1 2014 Almost everywhere divergent subsequences of Fourier sums of functions from \(\varphi (L) \cap H_1^\omega\). Zbl 1217.42008Antonov, N. Yu. 1 2009 On the growth rate of arbitrary sequences of double rectangular Fourier sums. Zbl 1237.42004Antonov, N. Yu. 1 2011 A note on estimates for the growth order of sequences of multiple rectangular Fourier sums. Zbl 1298.42013Antonov, N. Yu. 1 2012 On divergence almost everywhere of Fourier series of continuous functions of two variables. Zbl 1310.42003Antonov, N. Yu. 1 2014 A note on estimates for the growth order of sequences of multiple rectangular Fourier sums. Zbl 1298.42013Antonov, N. Yu. 1 2012 On the growth rate of arbitrary sequences of double rectangular Fourier sums. Zbl 1237.42004Antonov, N. Yu. 1 2011 On the almost everywhere convergence of sequences of multiple rectangular Fourier sums. Zbl 1312.42009Antonov, N. Yu. 2 2009 Almost everywhere divergent subsequences of Fourier sums of functions from \(\varphi (L) \cap H_1^\omega\). Zbl 1217.42008Antonov, N. Yu. 1 2009 On the convergence almost everywhere of multiple trigonometric Fourier series over cubes. Zbl 1062.42004Antonov, N. Yu. 7 2004 Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity. Zbl 1072.42003Antonov, N. Yu. 2 2004 Conditions for the finiteness of majorants for sequences of operators and convergence of Fourier series. Zbl 1147.42301Antonov, N. Yu. 4 2001 Convergence of Fourier series. Zbl 0919.42004Antonov, N. Yu. 43 1996 all cited Publications top 5 cited Publications all top 5 Cited by 43 Authors 9 Carro, María Jesús 5 Antonov, Nikolai Yu. 4 di Plinio, Francesco 4 Gát, György 4 Goginava, Ushangi 4 Lie, Victor Daniel 4 Polyakov, I. V. 3 Grafakos, Loukas 2 Bloshanskaya, S. K. 2 Bloshanskii, Igor L. 2 Domingo-Salazar, Carlos 2 Lerner, Andrei K. 2 Martell, José María (Chema) 2 Mastyło, Mieczysław 2 Rodríguez-Piazza, Luis 2 Soria, Fernando 1 Agora, Elona 1 Antezana, Jorge 1 Astashkin, Sergeĭ Vladimir 1 Baena-Miret, Sergi 1 Bilyk, Dmitry 1 Byrne, Helen Mary 1 Demeter, Ciprian 1 Kahane, Jean-Pierre 1 Karagulyan, Grigori 1 Lykov, Konstantin Vladimirovich 1 Martín, Joaquim 1 Muradyan, K. R. 1 Nagy, Károly 1 Nakai, Eiichi 1 Ombrosi, Sheldy Javier 1 Ortiz-Caraballo, Carmen 1 Perfekt, Karl-Mikael 1 Persson, Lars-Erik 1 Qi, Qi 1 Sawano, Yoshihiro 1 Schipp, Ferenc Schipp 1 Tephnadze, George 1 Tradacete Pérez, Pedro 1 Trigub, Roal’d Mikhaĭlovich 1 Vagharshakyan, Armen 1 Wattis, Jonathan A. D. 1 Weisz, Ferenc all top 5 Cited in 30 Serials 5 The Journal of Fourier Analysis and Applications 4 Mathematical Notes 4 Proceedings of the Steklov Institute of Mathematics 3 Journal of Mathematical Analysis and Applications 3 The Journal of Geometric Analysis 2 Moscow University Mathematics Bulletin 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Revista Matemática Iberoamericana 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal d’Analyse Mathématique 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Collectanea Mathematica 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Constructive Approximation 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Science China. Mathematics 1 Ural Mathematical Journal all top 5 Cited in 15 Fields 43 Harmonic analysis on Euclidean spaces (42-XX) 13 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Citations by Year