Edit Profile (opens in new tab) Farkov, Yuriĭ Anatol’evich Compute Distance To: Compute Author ID: farkov.yuri-a Published as: Farkov, Yu. A.; Farkov, Yuri A.; Farkov, Yuri; Farkov, Yu A. more...less Homepage: https://yufarkov.nethouse.ru/ External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 45 Publications since 1981, including 1 Book Reviewing Activity: 151 Reviews Co-Authors: 12 Co-Authors with 12 Joint Publications 107 Co-Co-Authors all top 5 Co-Authors 33 single-authored 3 Rodionov, Evgeny A. 2 Skopina, Maria 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 all top 5 Serials 8 Mathematical Notes 4 Russian Mathematical Surveys 3 Soviet Mathematics 3 Journal of Mathematical Sciences (New York) 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 30 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) 8 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 37 Publications have been cited 290 times in 115 Documents Cited by ▼ Year ▼ Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006Farkov, Yu. A. 42 2005 Dyadic wavelets and refinable functions on a half-line. Zbl 1214.42076Protasov, V. Yu.; Farkov, Yu. A. 33 2006 On wavelets related to the Walsh series. Zbl 1205.42030Farkov, Yu. A. 25 2009 Orthogonal wavelets on direct products of cyclic groups. Zbl 1142.42015Farkov, Yu. A. 18 2007 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 18 2011 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044Farkov, Yuri A.; Rodionov, Evgeny A. 13 2011 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037Farkov, Yu. A. 12 2009 Wavelet frames on Vilenkin groups and their approximation properties. Zbl 1330.42022Farkov, Yuri; Lebedeva, Elena; Skopina, Maria 10 2015 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026Farkov, Yu. A. 10 2005 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059Farkov, Yu. A. 10 2015 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041Rodionov, E. A.; Farkov, Yu. A. 9 2009 Orthogonal wavelets on locally compact abelian groups. Zbl 0914.43006Farkov, Yu. A. 9 1997 Examples of frames on the Cantor dyadic group. Zbl 1269.42021Farkov, Yuri A. 8 2012 The \(N\)-widths of Hardy-Sobolev spaces of several complex variables. Zbl 0803.41031Farkov, Yu. A. 8 1993 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036Farkov, Yu. A. 6 2010 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017Farkov, Yu. A. 6 2011 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 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049Farkov, Yuri A. 5 2011 Construction of wavelets through Walsh functions. Zbl 1418.42002Farkov, Yu. A.; Manchanda, Pammy; Siddiqi, Abul Hasan 4 2019 On diameters of some classes of analytic functions. Zbl 0542.30040Farkov, Yu. A. 3 1984 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 3 2011 Biorthogonal dyadic wavelets on \( \mathbb R_+\). Zbl 1268.42071Farkov, Yu A. 3 2007 On the best linear approximation of holomorphic functions. Zbl 1355.30035Farkov, Yu. A. 3 2016 On biorthogonal discrete wavelet bases. Zbl 1407.42030Farkov, Yu. A.; Rodionov, E. A. 3 2015 Faber-Erokhin basic functions in the neighborhood of several continua. Zbl 0578.30002Farkov, Yu. A. 2 1984 \(n\)-widths, Faber expansion, and computation of analytic functions. Zbl 0856.41022Farkov, Yu. A. 2 1996 Asymptotic properties of generalized basis functions of Faber-Erokhin. Zbl 0481.30033Farkov, Yu. A. 2 1981 B-spline wavelets on the sphere. Zbl 0989.42022Farkov, Yu. A. 2 1999 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044Farkov, Yu. A.; Borisov, M. E. 2 2012 Wavelet tight frames in Walsh analysis. Zbl 1449.42055Farkov, Yuri A. 1 2019 Parseval frames and the discrete Walsh transform. Zbl 1437.42049Farkov, Yu. A.; Robakidze, M. G. 1 2019 Widths and cowidths of Hardy spaces. Zbl 0833.41022Farkov, Yu. A. 1 1994 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005Farkov, Yu. A. 1 1982 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020Farkov, Yu. A. 1 1982 Wavelet frames related to Walsh functions. Zbl 1418.42047Farkov, Yuri A. 1 2019 Wavelet expansions on the Cantor group. Zbl 1315.42023Farkov, Yu. A. 1 2014 Construction of wavelets through Walsh functions. Zbl 1418.42002Farkov, Yu. A.; Manchanda, Pammy; Siddiqi, Abul Hasan 4 2019 Wavelet tight frames in Walsh analysis. Zbl 1449.42055Farkov, Yuri A. 1 2019 Parseval frames and the discrete Walsh transform. Zbl 1437.42049Farkov, Yu. A.; Robakidze, M. G. 1 2019 Wavelet frames related to Walsh functions. Zbl 1418.42047Farkov, Yuri A. 1 2019 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 10 2015 Constructions of MRA-based wavelets and frames in Walsh analysis. Zbl 1354.42059Farkov, Yu. A. 10 2015 On biorthogonal discrete wavelet bases. Zbl 1407.42030Farkov, Yu. A.; Rodionov, E. A. 3 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. 8 2012 Periodic dyadic wavelets and coding of fractal functions. Zbl 1277.42044Farkov, Yu. A.; Borisov, M. E. 2 2012 On biorthogonal wavelets related to the Walsh functions. Zbl 1219.42028Farkov, Yu. A.; Maksimov, A. Yu.; Stroganov, S. A. 18 2011 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044Farkov, Yuri A.; Rodionov, Evgeny A. 13 2011 Discrete wavelets and the Vilenkin-Chrestenson transform. Zbl 1238.42017Farkov, Yu. A. 6 2011 The use of discrete dyadic wavelets in image processing. Zbl 1302.42051Farkov, Yu. A.; Stroganov, S. A. 6 2011 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049Farkov, Yuri A. 5 2011 Unconditional convergence of wavelet expansion on the Cantor dyadic group. Zbl 1258.42035Farkov, Yuri; Goginava, Ushangi; Kopaliani, Tengiz 3 2011 Wavelets and frames based on Walsh-Dirichlet type kernels. Zbl 1203.42036Farkov, Yu. A. 6 2010 On wavelets related to the Walsh series. Zbl 1205.42030Farkov, Yu. A. 25 2009 Biorthogonal wavelets on Vilenkin groups. Zbl 1178.42037Farkov, Yu. A. 12 2009 Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type. Zbl 1178.42041Rodionov, E. A.; Farkov, Yu. A. 9 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. 33 2006 Orthogonal wavelets with compact supports on locally compact abelian groups. Zbl 1086.43006Farkov, Yu. A. 42 2005 Orthogonal \(p\)-wavelets on \(\mathbb R_+\). Zbl 1098.42026Farkov, Yu. A. 10 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 Widths and cowidths of Hardy spaces. Zbl 0833.41022Farkov, Yu. A. 1 1994 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 Faber-Erokhin operators and isomorphisms of spaces of analytic functions. Zbl 0512.30005Farkov, Yu. A. 1 1982 Basis Faber-Erokhin functions of several variables and epsilon-entropy estimates. Zbl 0526.41020Farkov, 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 78 Authors 21 Farkov, Yuriĭ Anatol’evich 15 Shah, Firdous Ahmad 10 Lukomskiĭ, Sergeĭ Fedorovich 7 Bhat, Mohammad Younus 5 Berdnikov, Gleb Sergeevich 4 Ahmad, Owais 4 Behera, Biswaranjan 4 Platonov, Sergei S. 4 Skopina, Maria A. 3 Ding, Hongming 3 Jahan, Qaiser 3 Kozyrev, Sergeĭ Vladimirovich 3 Kruss, Iuliia Sergeevna 3 Lebedeva, Elena A. 3 Rodionov, Evgeny A. 3 Sheikh, Neyaz Ahmad 2 Abdullah 2 Ahmad, Mobin 2 Ahmad, Neyaz 2 Albeverio, Sergio A. 2 Debnath, Lokenath 2 Evdokimov, Sergeĭ Alekseevich 2 Goyal, Sunita 2 Hussain, Tufail 2 Karapetyants, Mikhail A. 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 Abdullah, Abdullah A. 1 Ahmad, Ishtaq 1 Arfaoui, Sabrine 1 Bakhtin, Aleksandr Konstantinovich 1 Bandtlow, Oscar F. 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 Jenkinson, Oliver 1 King, Emily Jeannette 1 Krivoshein, Aleksandr Vladimirovich 1 Li, Yunzhang 1 Mahapatra, Prasadini 1 Maksimov, A. Yu. 1 Malkova, K. M. 1 Maury, Saurabh Chandra 1 Mittal, Meenakshi 1 Mittal, Shiva 1 Nivoche, Stéphanie 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 Shabozov, Mirgand Shabozovich 1 Sharma, Vikram 1 Shvedenko, S. V. 1 Siddiqi, Abul Hasan 1 Singh, Divya 1 Slamić, Ivana 1 Volovich, Igor’ Vasil’evich 1 Vyas, Aparna 1 Zelenov, Evgenii I. 1 Zhang, Wei 1 Zhang, Yan all top 5 Cited in 56 Serials 10 International Journal of Wavelets, Multiresolution and Information Processing 9 Mathematical Notes 7 Journal of Mathematical Analysis and Applications 7 Journal of Mathematical Sciences (New York) 6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Complex Analysis and Operator Theory 3 Numerical Functional Analysis and Optimization 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 Collectanea Mathematica 2 Journal of Approximation Theory 2 Siberian Mathematical Journal 2 Russian Mathematics 2 Turkish Journal of Mathematics 2 Filomat 2 Integral Transforms and Special Functions 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 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 Ukrainian Mathematical Journal 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 Journal of the Egyptian Mathematical Society 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Analysis (München) 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 Chebyshevskiĭ Sbornik 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 Operators 1 Cogent Mathematics all top 5 Cited in 21 Fields 92 Harmonic analysis on Euclidean spaces (42-XX) 47 Abstract harmonic analysis (43-XX) 26 Number theory (11-XX) 16 Approximations and expansions (41-XX) 9 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 Partial differential equations (35-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