Yu. A. Farkov, “Wavelet frames related to Walsh functions”, European Journal of Mathematics, 5:1 (2019), 250–267
Yu. A. Farkov, P. Manchanda, A. H. Siddiqi, Construction of wavelets through Walsh functions, Industrial and Applied Mathematics, Springer, Singapore, 2019 , 386 pp.
Farkov Yu.A., “Ortogonalnye vspleski v analize Uolsha”, Matematika. K 80-letiyu V.A. Skvortsova. Obobschennye integraly i garmonicheskii analiz, Sovremennye problemy matematiki i mekhaniki, XI, № 1, ðåä. T.P. Lukashenko, A.P. Solodov, Izdatelstvo Moskovskogo universiteta, M., 2016, 62–75
Farkov Yu.A., “O nailuchshem lineinom priblizhenii golomorfnykh funktsii”, Fundament. i prikl. matem., 19:5 (2014), 185–212; Farkov Yu. A., “On the best linear approximation of holomorphic functions”, J. Math. Sci., 218:5 (2016), 678–698
Farkov Yu.A., “Ortogonalnye veivlety s kompaktnymi nositelyami na lokalno kompaktnykh abelevykh gruppakh”, Izv. RAN. Ser. matem., 69:3 (2005), 193–220; Farkov Yu. A., “Orthogonal wavelets with compact supports on locally compact Abelian groups”, Izv. Math., 69:3 (2005), 623–650
Yu. A. Farkov, “Step scaling functions and the Chrestenson system”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 134–149
2022
4.
M. A. Skopina, Yu. A. Farkov, “Walsh-Type Functions on $M$-Positive Sets in $\mathbb R^d$”, Math. Notes, 111:4 (2022), 643–647
5.
Yu. Farkov, M. Skopina, “Step wavelets on Vilenkin groups”, J. Math. Sci., New York, Series A, 266:5 (2022), 696–708
Yu. A. Farkov, “Frames in Walsh analysis, Hadamard matrices, and uniformly distributed sets”, Proceedings of the 20 International Saratov Winter School “Contemporary Problems of Function Theory and Their Applications”, Saratov, January 28 — February 1, 2020. Part 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 199, VINITI, Moscow, 2021, 17–30
Yu. A. Farkov, P. Manchanda, A. H. Siddiqi, Construction of wavelets through Walsh functions, Industrial and Applied Mathematics, Springer, Singapore, 2019 , 386 pp.
11.
Yu. A. Farkov, M. G. Robakidze, “Parseval Frames and the Discrete Walsh Transform”, Math. Notes, 106:3 (2019), 446–456
12.
Yu. A. Farkov, “Wavelet tight frames in Walsh analysis”, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput., 49 (2019), 161–177
2022
13.
Yu. A. Farkov, “Finite Parseval frames in Walsh analysis”, J. Math. Sci. (N. Y.), 263:4 (2022), 579–589
2018
14.
Yu. A. Farkov, “Diskretnye veivlet-preobrazovaniya v zadachakh monitoringa”, Sotsiofizika i sotsioinzheneriya'2018, Trudy vtoroi Vserossiiskoi mezhdistsiplinarnoi konferentsii ( 23–25 maya 2018 g., Institut problem upravleniya im. V.A. Trapeznikova RAN, Moskovskii gosudarstvennyi universitet imeni M.V. Lomonosova), 2018, 97–98
15.
Yu. A. Farkov, “Parametricheskie mnozhestva dlya freimov v analize Uolsha”, Vestnik Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika., 124:3 (2018), 89–94
A. A. Lyubushin, Yu. A. Farkov, “Synchronous components of financial time series”, Computer Research and Modeling, 9:4 (2017), 639–655
17.
Yu. A. Farkov, “Nonstationary multiresolution analysis for Vilenkin groups”, 2017 International Conference on Sampling Theory and Applications (SampTA) (Tallinn, Estonia, 3-7 July 2017), 2017, 595–598
Yu. A. Farkov, “Ortogonalnye vspleski v analize Uolsha”, Matematika. K 80-letiyu V.A. Skvortsova. Obobschennye integraly i garmonicheskii analiz, Pod redaktsiei T.P. Lukashenko i A.P. Solodova, Sovremennye problemy matematiki i mekhaniki, XI, no. 1, Izdatelstvo Moskovskogo universiteta, M., 2016, 62–75
2015
19.
Yu. A. Farkov, “Constructions of MRA-based wavelets and frames in Walsh analysis”, IWWFA-II, Delhi, Poincare J. Anal. Appl., no. 2, 2015, 13–36
Yu. Farkov, E. Lebedeva, M. Skopina, “Wavelet frames on Vilenkin groups and their approximation properties”, Int. J. Wavelets Multiresolut. Inf. Process., 13:5 (2015), 1550036, 19 pp.
Yu. A. Farkov, M. E. Borisov, “Periodic dyadic wavelets and coding of fractal functions”, Russian Math. (Iz. VUZ), 56:9 (2012), 46–56
27.
Yu. A. Farkov, “Wavelets and frames in Walsh analysis”, Wavelets: Classification, Theory and Applications, Chapter 11, eds. Manel del Valle et al., Nova Science Publishers, New York, 2012, 269–307
2011
28.
Yu. A. Farkov, “Discrete Wavelets and the Vilenkin–Chrestenson Transform”, Math. Notes, 89:6 (2011), 871–884
29.
Yu. A. Farkov, E. A. Rodionov, “Algorithms for wavelet construction on Vilenkin groups”, $p$-Adic numbers, ultrametric analysis and applications, 3:6 (2011), 181–195
Yu. A. Farkov, S. A. Stroganov, “The use of discrete dyadic wavelets in image processing”, Russian Math. (Iz. VUZ), 55:7 (2011), 47–55
31.
Yu. A. Farkov, A. Yu. Maksimov, S. A. Stroganov, “On biorthogonal wavelets related to the Walsh functions”, Int. J. Wavelets Multiresolut. Inf. Process., 9:3 (2011), 485–499
Yu. Farkov, U. Goginava, T. Kopaliani, “Unconditional convergence of wavelet expansion on the Cantor dyadic group”, Jaen J. Approx., 3:1 (2011), 117–133
33.
Yu. Farkov, “Periodic wavelets on the $p$-adic Vilenkin group”, $p$-Adic Numbers Ultrametric Anal. Appl., 3:4 (2011), 281–287
Yu. A. Farkov, “Widths of Hardy classes and Bergman classes on the ball in $\mathbb C^n$”, Russian Math. Surveys, 45:5 (1990), 229–231
1988
47.
Yu. A. Farkov, “Widths of classes of analytic functions with bounded derivatives”, Soviet Math. (Iz. VUZ), 32:4 (1988), 123–126
1984
48.
Yu. A. Farkov, “Faber-Erokhin basic functions in the neighborhood of several continua”, Math. Notes, 36:6 (1984), 941–946
49.
Yu. A. Farkov, “On diameters of some classes of analytic functions”, Russian Math. Surveys, 39:1 (1984), 153–154
1982
50.
Yu. A. Farkov, “Faber–Erokhin operators and isomorphisms of some spaces of analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 7, 81–83
51.
Yu. A. Farkov, “Faber–Erokhin basis functions of several variables and estimates of $\varepsilon$-entropy”, Soviet Math. (Iz. VUZ), 26:3 (1982), 101–109
1981
52.
Yu. A. Farkov, “Asymptotic properties of generalized basis functions of Faber–Erokhin”, Sib. Mat. Zh., 22:1 (1981), 173–189
2024
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