Edit Profile (opens in new tab) Farkov, Yuriĭ Anatol’evich Co-Author Distance Author ID: farkov.yuri-a Published as: Farkov, Yu. A.; Farkov, Yuri A.; Farkov, Yuri; Farkov, Yu.; Farkov, Yu A. more...less Homepage: https://yufarkov.nethouse.ru/ External Links: MGP · ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 48 Publications since 1981, including 1 Book Reviewing Activity: 159 Reviews Co-Authors: 11 Co-Authors with 13 Joint Publications 85 Co-Co-Authors all top 5 Co-Authors 34 single-authored 4 Skopina, Maria A. 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 Robakidze, M. G. 1 Siddiqi, Abul Hasan all top 5 Serials 8 Mathematical Notes 6 Journal of Mathematical Sciences (New York) 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 \(p\)-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 33 Harmonic analysis on Euclidean spaces (42-XX) 11 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 10 Abstract harmonic analysis (43-XX) 9 Numerical analysis (65-XX) 5 Functional analysis (46-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-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 Open 39 Publications have been cited 349 times in 135 Documents Cited by ▼ Year ▼ Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006 Farkov, Yu. A. 46 2005 Dyadic wavelets and refinable functions on a half-line. Zbl 1214.42076 Protasov, V. Yu.; Farkov, Yu. A. 38 2006 On wavelets related to the Walsh series. Zbl 1205.42030 Farkov, Yu. A. 28 2009 Orthogonal wavelets on direct products of cyclic groups. Zbl 1142.42015 Farkov, Yu. A. 21 2007 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028 Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 20 2011 Wavelet frames on Vilenkin groups and their approximation properties. Zbl 1330.42022 Farkov, Yuri; Lebedeva, Elena; Skopina, Maria 16 2015 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026 Farkov, Yu. A. 14 2005 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044 Farkov, Yuri A.; Rodionov, Evgeny A. 14 2011 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059 Farkov, Yu. A. 13 2015 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037 Farkov, Yu. A. 12 2009 Orthogonal wavelets on locally compact abelian groups. Zbl 0914.43006 Farkov, Yu. A. 11 1997 Examples of frames on the Cantor dyadic group. Zbl 1269.42021 Farkov, Yuri A. 11 2012 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041 Rodionov, E. A.; Farkov, Yu. A. 10 2009 Construction of wavelets through Walsh functions. Zbl 1418.42002 Farkov, Yu. A.; Manchanda, Pammy; Siddiqi, Abul Hasan 10 2019 The \(N\)-widths of Hardy-Sobolev spaces of several complex variables. Zbl 0803.41031 Farkov, Yu. A. 9 1993 Widths of Hardy classes and Bergman classes on the ball in \({\mathbb{C}}^ n\). Zbl 0718.32005 Farkov, Yu. A. 8 1990 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017 Farkov, Yu. A. 7 2011 The use of discrete dyadic wavelets in image processing. Zbl 1302.42051 Farkov, Yu. A.; Stroganov, S. A. 6 2011 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036 Farkov, Yu. A. 6 2010 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049 Farkov, Yuri A. 5 2011 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035 Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 5 2011 Wavelet frames related to Walsh functions. Zbl 1418.42047 Farkov, Yuri A. 5 2019 \(n\)-widths, Faber expansion, and computation of analytic functions. Zbl 0856.41022 Farkov, Yu. A. 4 1996 Biorthogonal dyadic wavelets on \( \mathbb R_+\). Zbl 1268.42071 Farkov, Yu A. 4 2007 On diameters of some classes of analytic functions. Zbl 0542.30040 Farkov, Yu. A. 3 1984 On the best linear approximation of holomorphic functions. Zbl 1355.30035 Farkov, Yu. A. 3 2016 On biorthogonal discrete wavelet bases. Zbl 1407.42030 Farkov, Yu. A.; Rodionov, E. A. 3 2015 Asymptotic properties of generalized basis functions of Faber-Erokhin. Zbl 0481.30033 Farkov, Yu. A. 2 1981 B-spline wavelets on the sphere. Zbl 0989.42022 Farkov, Yu. A. 2 1999 Faber-Erokhin basic functions in the neighborhood of several continua. Zbl 0578.30002 Farkov, Yu. A. 2 1984 Wavelet tight frames in Walsh analysis. Zbl 1449.42055 Farkov, Yuri A. 2 2019 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044 Farkov, Yu. A.; Borisov, M. E. 2 2012 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005 Farkov, Yu. A. 1 1982 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020 Farkov, Yu. A. 1 1982 On diameters of some classes of analytic functions. Zbl 0549.30040 Farkov, Yu. A. 1 1984 Widths and cowidths of Hardy spaces. Zbl 0833.41022 Farkov, Yu. A. 1 1994 Wavelet expansions on the Cantor group. Zbl 1315.42023 Farkov, Yu. A. 1 2014 Parseval frames and the discrete Walsh transform. Zbl 1437.42049 Farkov, Yu. A.; Robakidze, M. G. 1 2019 Step wavelets on Vilenkin groups. Zbl 07798310 Farkov, Yu.; Skopina, M. 1 2022 Step wavelets on Vilenkin groups. Zbl 07798310 Farkov, Yu.; Skopina, M. 1 2022 Construction of wavelets through Walsh functions. Zbl 1418.42002 Farkov, Yu. A.; Manchanda, Pammy; Siddiqi, Abul Hasan 10 2019 Wavelet frames related to Walsh functions. Zbl 1418.42047 Farkov, Yuri A. 5 2019 Wavelet tight frames in Walsh analysis. Zbl 1449.42055 Farkov, Yuri A. 2 2019 Parseval frames and the discrete Walsh transform. Zbl 1437.42049 Farkov, Yu. A.; Robakidze, M. G. 1 2019 On the best linear approximation of holomorphic functions. Zbl 1355.30035 Farkov, Yu. A. 3 2016 Wavelet frames on Vilenkin groups and their approximation properties. Zbl 1330.42022 Farkov, Yuri; Lebedeva, Elena; Skopina, Maria 16 2015 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059 Farkov, Yu. A. 13 2015 On biorthogonal discrete wavelet bases. Zbl 1407.42030 Farkov, Yu. A.; Rodionov, E. A. 3 2015 Wavelet expansions on the Cantor group. Zbl 1315.42023 Farkov, Yu. A. 1 2014 Examples of frames on the Cantor dyadic group. Zbl 1269.42021 Farkov, Yuri A. 11 2012 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044 Farkov, Yu. A.; Borisov, M. E. 2 2012 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028 Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 20 2011 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044 Farkov, Yuri A.; Rodionov, Evgeny A. 14 2011 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017 Farkov, Yu. A. 7 2011 The use of discrete dyadic wavelets in image processing. Zbl 1302.42051 Farkov, Yu. A.; Stroganov, S. A. 6 2011 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049 Farkov, Yuri A. 5 2011 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035 Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 5 2011 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036 Farkov, Yu. A. 6 2010 On wavelets related to the Walsh series. Zbl 1205.42030 Farkov, Yu. A. 28 2009 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037 Farkov, Yu. A. 12 2009 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041 Rodionov, E. A.; Farkov, Yu. A. 10 2009 Orthogonal wavelets on direct products of cyclic groups. Zbl 1142.42015 Farkov, Yu. A. 21 2007 Biorthogonal dyadic wavelets on \( \mathbb R_+\). Zbl 1268.42071 Farkov, Yu A. 4 2007 Dyadic wavelets and refinable functions on a half-line. Zbl 1214.42076 Protasov, V. Yu.; Farkov, Yu. A. 38 2006 Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006 Farkov, Yu. A. 46 2005 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026 Farkov, Yu. A. 14 2005 B-spline wavelets on the sphere. Zbl 0989.42022 Farkov, Yu. A. 2 1999 Orthogonal wavelets on locally compact abelian groups. Zbl 0914.43006 Farkov, Yu. A. 11 1997 \(n\)-widths, Faber expansion, and computation of analytic functions. Zbl 0856.41022 Farkov, Yu. A. 4 1996 Widths and cowidths of Hardy spaces. Zbl 0833.41022 Farkov, Yu. A. 1 1994 The \(N\)-widths of Hardy-Sobolev spaces of several complex variables. Zbl 0803.41031 Farkov, Yu. A. 9 1993 Widths of Hardy classes and Bergman classes on the ball in \({\mathbb{C}}^ n\). Zbl 0718.32005 Farkov, Yu. A. 8 1990 On diameters of some classes of analytic functions. Zbl 0542.30040 Farkov, Yu. A. 3 1984 Faber-Erokhin basic functions in the neighborhood of several continua. Zbl 0578.30002 Farkov, Yu. A. 2 1984 On diameters of some classes of analytic functions. Zbl 0549.30040 Farkov, Yu. A. 1 1984 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005 Farkov, Yu. A. 1 1982 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020 Farkov, Yu. A. 1 1982 Asymptotic properties of generalized basis functions of Faber-Erokhin. Zbl 0481.30033 Farkov, Yu. A. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 24 Farkov, Yuriĭ Anatol’evich 15 Shah, Firdous Ahmad 12 Lukomskiĭ, Sergeĭ Fedorovich 7 Bhat, Mohammad Younus 6 Ahmad, Owais 6 Skopina, Maria A. 5 Berdnikov, Gleb Sergeevich 5 Li, Yunzhang 5 Sheikh, Neyaz Ahmad 4 Behera, Biswaranjan 4 Platonov, Sergei S. 4 Zhang, Yan 3 Ahmad, Mobin 3 Ding, Hongming 3 Hussain, Tufail 3 Jahan, Qaiser 3 Karapetyants, Mikhail A. 3 Kozyrev, Sergeĭ Vladimirovich 3 Kruss, Iuliia Sergeevna 3 Langarshoev, Mukhtor Ramazonovich 3 Lebedeva, Elena A. 3 Rodionov, Evgeny A. 3 Vakarchuk, Sergei Borisovich 3 Vodolazov, A. M. 2 Abdullah 2 Ahmad, Neyaz 2 Albeverio, Sergio A. 2 Bandtlow, Oscar F. 2 Debnath, Lokenath 2 Evdokimov, Sergeĭ Alekseevich 2 Goyal, Sunita 2 Jenkinson, Oliver 2 Khrennikov, Andreĭ Yur’evich 2 Mahapatra, Prasadini 2 Shabozov, Mirgand Shabozovich 2 Shelkovich, Vladimir M. 2 Shukla, Niraj K. 2 Singh, Divya 2 Stroganov, S. A. 2 Trynin, Aleksandr Yur’evich 2 Zhang, Wei 1 Ahmad, Ishtaq 1 Arfaoui, Sabrine 1 Bakhtin, Aleksandr Konstantinovich 1 Baramidze, David 1 Ben Mabrouk, Anouar 1 Benedetto, John Joseph 1 Benedetto, Robert L. 1 Bespalov, Mikhaĭl Sergeevich 1 Borisov, M. E. 1 Chernykh, Nikolaĭ Ivanovich 1 Deliu, Anca 1 Denega, Iryna Viktorovich 1 Deng, Baiqiao 1 Dragovich, Branko 1 Gross, Kenneth Irwin 1 Gubkina, Elena Vladimirovna 1 King, Emily Jeannette 1 Krivoshein, Aleksandr Vladimirovich 1 Kumar, Dileep 1 Maksimov, A. Yu. 1 Malkova, K. M. 1 Maury, Saurabh Chandra 1 Mittal, Meenakshi 1 Mittal, Shiva 1 Nivoche, Stéphanie 1 Pathak, Ashish 1 Persson, Lars-Erik 1 Prokhorovich, Mikhail Aleksandrovich 1 Protasov, Vladimir Yu. 1 Radyno, E. M. 1 Richards, Donald St. P. 1 Robakidze, M. G. 1 Saidusaĭnov, Mukim Saidusaĭnovich 1 Saidusajnov, Mukim S. 1 Sharma, Vikram 1 Shvedenko, S. V. 1 Siddiqi, Abul Hasan 1 Slamić, Ivana 1 Tangrand, Kristoffer 1 Tephnadze, George 1 Vakarchuk, Mihail B. 1 Volovich, Igor’ Vasil’evich 1 Vyas, Aparna 1 Wani, Abid H. 1 Yusupov, Gulzorkhon Amirshoevich 1 Zelenov, Evgenii I. all top 5 Cited in 63 Serials 11 International Journal of Wavelets, Multiresolution and Information Processing 10 Journal of Mathematical Sciences (New York) 9 Mathematical Notes 8 Journal of Mathematical Analysis and Applications 6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 5 Numerical Functional Analysis and Optimization 4 Complex Analysis and Operator Theory 3 Siberian Mathematical Journal 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 The Journal of Fourier Analysis and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Ukrainian Mathematical Journal 2 Collectanea Mathematica 2 Journal of Approximation Theory 2 Russian Mathematics 2 Turkish Journal of Mathematics 2 Filomat 2 Integral Transforms and Special Functions 2 Journal of Inequalities and Applications 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Chebyshevskiĭ Sbornik 2 Journal of Classical Analysis 2 European Journal of Mathematics 2 Ural Mathematical Journal 1 Analysis Mathematica 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Functional Analysis and its Applications 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 The Journal of Analysis 1 Journal of the Egyptian Mathematical Society 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Communications in Mathematical Analysis 1 Operators and Matrices 1 Asian-European Journal of Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Science China. Mathematics 1 Azerbaijan Journal of Mathematics 1 Mathematics 1 Journal of Applied Mathematics, Statistics and Informatics 1 Journal of Operators 1 Cogent Mathematics 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 23 Fields 109 Harmonic analysis on Euclidean spaces (42-XX) 54 Abstract harmonic analysis (43-XX) 27 Number theory (11-XX) 17 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 7 Information and communication theory, circuits (94-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-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