Edit Profile Farkov, Yuriĭ Anatol’evich Compute Distance To: Compute Author ID: farkov.yuri-a Published as: Farkov, Yu A.; Farkov, Yu. A.; Farkov, Yuri; Farkov, Yuri A. Homepage: https://yufarkov.nethouse.ru/ External Links: MGP · Math-Net.Ru · ResearchGate Documents Indexed: 43 Publications since 1981, including 1 Book Reviewing Activity: 144 Reviews all top 5 Co-Authors 32 single-authored 3 Rodionov, Evgeny A. 2 Stroganov, S. A. 1 Borisov, M. E. 1 Goginava, Ushangi 1 Kopaliani, Tengiz 1 Lebedeva, Elena A. 1 Maksimov, A. Yu. 1 Manchanda, Pammy 1 Protasov, Vladimir Yu. 1 Robakidze, M. G. 1 Siddiqi, Abul Hasan 1 Skopina, Maria A. all top 5 Serials 7 Mathematical Notes 4 Russian Mathematical Surveys 3 Soviet Mathematics 3 International Journal of Wavelets, Multiresolution and Information Processing 2 Journal of Approximation Theory 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Functional Analysis and its Applications 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Journal of Complexity 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Jaen Journal on Approximation 1 Communications in Mathematics and Applications 1 Poincare Journal of Analysis and Applications 1 European Journal of Mathematics 1 Industrial and Applied Mathematics all top 5 Fields 28 Harmonic analysis on Euclidean spaces (42-XX) 11 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 9 Abstract harmonic analysis (43-XX) 7 Numerical analysis (65-XX) 5 Functional analysis (46-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Information and communication theory, circuits (94-XX) 2 Computer science (68-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 32 Publications have been cited 238 times in 96 Documents Cited by ▼ Year ▼ Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006Farkov, Yu. A. 36 2005 Dyadic wavelets and refinable functions on a half-line. Zbl 1214.42076Protasov, V. Yu.; Farkov, Yu. A. 29 2006 On wavelets related to the Walsh series. Zbl 1205.42030Farkov, Yu. A. 20 2009 Orthogonal wavelets on direct products of cyclic groups. Zbl 1142.42015Farkov, Yu. A. 18 2007 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044Farkov, Yuri A.; Rodionov, Evgeny A. 12 2011 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 12 2011 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037Farkov, Yu. A. 10 2009 Orthogonal wavelets on locally compact abelian groups. Zbl 0914.43006Farkov, Yu. A. 9 1997 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041Rodionov, E. A.; Farkov, Yu. A. 8 2009 The \(N\)-widths of Hardy-Sobolev spaces of several complex variables. Zbl 0803.41031Farkov, Yu. A. 8 1993 Wavelet frames on Vilenkin groups and their approximation properties. Zbl 1330.42022Farkov, Yuri; Lebedeva, Elena; Skopina, Maria 7 2015 Examples of frames on the Cantor dyadic group. Zbl 1269.42021Farkov, Yuri A. 7 2012 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026Farkov, Yu. A. 7 2005 The use of discrete dyadic wavelets in image processing. Zbl 1302.42051Farkov, Yu. A.; Stroganov, S. A. 6 2011 Widths of Hardy classes and Bergman classes on the ball in \({\mathbb{C}}^ n\). Zbl 0718.32005Farkov, Yu. A. 6 1990 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059Farkov, Yu. A. 5 2015 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017Farkov, Yu. A. 5 2011 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036Farkov, Yu. A. 5 2010 On the best linear approximation of holomorphic functions. Zbl 1355.30035Farkov, Yu. A. 3 2016 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049Farkov, Yuri A. 3 2011 Biorthogonal dyadic wavelets on \( \mathbb R_+\). Zbl 1268.42071Farkov, Yu A. 3 2007 On diameters of some classes of analytic functions. Zbl 0542.30040Farkov, Yu. A. 3 1984 On biorthogonal discrete wavelet bases. Zbl 1407.42030Farkov, Yu. A.; Rodionov, E. A. 2 2015 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 2 2011 B-spline wavelets on the sphere. Zbl 0989.42022Farkov, Yu. A. 2 1999 \(n\)-widths, Faber expansion, and computation of analytic functions. Zbl 0856.41022Farkov, Yu. A. 2 1996 Faber-Erokhin basic functions in the neighborhood of several continua. Zbl 0578.30002Farkov, Yu. A. 2 1984 Asymptotic properties of generalized basis functions of Faber-Erokhin. Zbl 0481.30033Farkov, Yu. A. 2 1981 Wavelet expansions on the Cantor group. Zbl 1315.42023Farkov, Yu. A. 1 2014 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044Farkov, Yu. A.; Borisov, M. E. 1 2012 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020Farkov, Yu. A. 1 1982 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005Farkov, Yu. A. 1 1982 On the best linear approximation of holomorphic functions. Zbl 1355.30035Farkov, Yu. A. 3 2016 Wavelet frames on Vilenkin groups and their approximation properties. Zbl 1330.42022Farkov, Yuri; Lebedeva, Elena; Skopina, Maria 7 2015 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059Farkov, Yu. A. 5 2015 On biorthogonal discrete wavelet bases. Zbl 1407.42030Farkov, Yu. A.; Rodionov, E. A. 2 2015 Wavelet expansions on the Cantor group. Zbl 1315.42023Farkov, Yu. A. 1 2014 Examples of frames on the Cantor dyadic group. Zbl 1269.42021Farkov, Yuri A. 7 2012 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044Farkov, Yu. A.; Borisov, M. E. 1 2012 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044Farkov, Yuri A.; Rodionov, Evgeny A. 12 2011 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 12 2011 The use of discrete dyadic wavelets in image processing. Zbl 1302.42051Farkov, Yu. A.; Stroganov, S. A. 6 2011 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017Farkov, Yu. A. 5 2011 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049Farkov, Yuri A. 3 2011 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 2 2011 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036Farkov, Yu. A. 5 2010 On wavelets related to the Walsh series. Zbl 1205.42030Farkov, Yu. A. 20 2009 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037Farkov, Yu. A. 10 2009 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041Rodionov, E. A.; Farkov, Yu. A. 8 2009 Orthogonal wavelets on direct products of cyclic groups. Zbl 1142.42015Farkov, Yu. A. 18 2007 Biorthogonal dyadic wavelets on \( \mathbb R_+\). Zbl 1268.42071Farkov, Yu A. 3 2007 Dyadic wavelets and refinable functions on a half-line. Zbl 1214.42076Protasov, V. Yu.; Farkov, Yu. A. 29 2006 Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006Farkov, Yu. A. 36 2005 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026Farkov, Yu. A. 7 2005 B-spline wavelets on the sphere. Zbl 0989.42022Farkov, Yu. A. 2 1999 Orthogonal wavelets on locally compact abelian groups. Zbl 0914.43006Farkov, Yu. A. 9 1997 \(n\)-widths, Faber expansion, and computation of analytic functions. Zbl 0856.41022Farkov, Yu. A. 2 1996 The \(N\)-widths of Hardy-Sobolev spaces of several complex variables. Zbl 0803.41031Farkov, Yu. A. 8 1993 Widths of Hardy classes and Bergman classes on the ball in \({\mathbb{C}}^ n\). Zbl 0718.32005Farkov, Yu. A. 6 1990 On diameters of some classes of analytic functions. Zbl 0542.30040Farkov, Yu. A. 3 1984 Faber-Erokhin basic functions in the neighborhood of several continua. Zbl 0578.30002Farkov, Yu. A. 2 1984 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020Farkov, Yu. A. 1 1982 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005Farkov, Yu. A. 1 1982 Asymptotic properties of generalized basis functions of Faber-Erokhin. Zbl 0481.30033Farkov, Yu. A. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 76 Authors 19 Farkov, Yuriĭ Anatol’evich 14 Shah, Firdous Ahmad 9 Lukomskiĭ, Sergeĭ Fedorovich 7 Skopina, Maria A. 4 Berdnikov, Gleb Sergeevich 4 Bhat, Mohammad Younus 4 Lebedeva, Elena A. 4 Platonov, Sergei S. 3 Behera, Biswaranjan 3 Ding, Hongming 3 Jahan, Qaiser 3 Kozyrev, Sergeĭ Vladimirovich 3 Kruss, Iuliia Sergeevna 3 Manchanda, Pammy 3 Rodionov, Evgeny A. 2 Abdullah 2 Albeverio, Sergio A. 2 Bespalov, Mikhaĭl Sergeevich 2 Debnath, Lokenath 2 Evdokimov, Sergeĭ Alekseevich 2 Goyal, Sunita 2 Khrennikov, Andreĭ Yur’evich 2 Langarshoev, Mukhtor Ramazonovich 2 Shelkovich, Vladimir M. 2 Shukla, Niraj K. 2 Stroganov, S. A. 2 Trynin, Aleksandr Yur’evich 2 Vodolazov, A. M. 1 Ahmad, Neyaz 1 Ahmad, Owais 1 Arfaoui, Sabrine 1 Bandtlow, Oscar F. 1 Ben Mabrouk, Anouar 1 Benedetto, John J. 1 Benedetto, Robert L. 1 Borisov, M. E. 1 Chernykh, Nikolaĭ Ivanovich 1 Deliu, Anca 1 Deng, Baiqiao 1 Dragovich, Branko 1 Gross, Kenneth Irwin 1 Gubkina, Elena Vladimirovna 1 Jenkinson, Oliver 1 Karapetyants, Mikhail A. 1 King, Emily Jeannette 1 Krivoshein, Aleksandr Vladimirovich 1 Li, Yunzhang 1 Mahapatra, Prasadini 1 Maksimov, A. Yu. 1 Manchanda, Puneet 1 Maury, Saurabh Chandra 1 Meenakshi, M. 1 Mittal, Meenakshi 1 Mittal, Shiva 1 Nivoche, Stéphanie 1 Prokhorovich, Mikhail Aleksandrovich 1 Radyno, E. M. 1 Richards, Donald St. P. 1 Robakidze, M. G. 1 Saidusaĭnov, Mukim Saidusaĭnovich 1 Saidusajnov, Mukim S. 1 Shabozov, Mirgand Shabozovich 1 Shah, Farooq Ahmed 1 Sharma, Vikram 1 Sharma, Vikram 1 Shvedenko, S. V. 1 Siddiqi, Abul Hassan 1 Singh, Divya 1 Slamić, Ivana 1 Vakarchuk, Sergei Borisovich 1 Vakarchuk, Sergey B. 1 Volovich, Igor’ Vasil’evich 1 Vyas, Aparna 1 Zelenov, Evgenii I. 1 Zhang, Wei 1 Zhang, Yan all top 5 Cited in 47 Serials 9 International Journal of Wavelets, Multiresolution and Information Processing 8 Mathematical Notes 7 Journal of Mathematical Analysis and Applications 6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 5 Journal of Mathematical Sciences (New York) 3 The Journal of Fourier Analysis and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Complex Analysis and Operator Theory 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Collectanea Mathematica 2 Journal of Approximation Theory 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Russian Mathematics 2 Turkish Journal of Mathematics 2 Integral Transforms and Special Functions 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Journal of Classical Analysis 2 Ural Mathematical Journal 1 Indian Journal of Pure & Applied Mathematics 1 Ukrainian Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Results in Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 The Journal of Geometric Analysis 1 Computational Mathematics and Mathematical Physics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Analysis (München) 1 Lobachevskii Journal of Mathematics 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Communications in Mathematical Analysis 1 Operators and Matrices 1 Asian-European Journal of Mathematics 1 Mathematics 1 Journal of Operators 1 European Journal of Mathematics 1 Cogent Mathematics all top 5 Cited in 21 Fields 74 Harmonic analysis on Euclidean spaces (42-XX) 39 Abstract harmonic analysis (43-XX) 20 Number theory (11-XX) 12 Approximations and expansions (41-XX) 8 Functions of a complex variable (30-XX) 7 Numerical analysis (65-XX) 6 Information and communication theory, circuits (94-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year