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Biography

Prof. Yuri Anatolyevich Farkov

Russian Presidential Academy of National Economy and Public Administration (RANEPA), Russia


Email: farkov@list.ru


Qualifications

DSc, Peoples' Friendship University of Russia, Russia

Ph.D., Moscow Region Pedagogical Institute, Russia

BS.C., Uralsk Pedagogical Institute, Kazakhstan

Publications(Selected)
  1. The N-widths of Hardy-Sobolev spaces of several complex variables, J. Approx. Theory, 75 (1993), 183–197.
  2. n-Widths, Faber expansion, and computation of analytic functions, Journal of Complexity, 12 (1996), 58–79.
  3. Orthogonal wavelets with compact support on locally compact Abelian groups, Izvestiya: Mathematics, 69 (2005), 623–650.
  4. Dyadic wavelets and refinable functions on a half-line, Sbornik: Mathematics, 197 (2006), 1529– 558 (Co-author: V.Yu. Protasov).
  5. Biorthogonal wavelets on Vilenkin groups, Proc. Steklov Inst. Math., 265 (2009), 101–114.
  6. Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type, Math. Notes, 86 (2009), 392–406. (Co-author: E.A. Rodionov).
  7. On wavelets related to the Walsh series, J. Approx. Theory, 161 (2009), 259–279.
  8. On biorthogonal wavelets related to the Walsh functions, Intern. J. Wavelets Multiresolut. Inf. Process. 9 (2010), 485–499. (Co-authors: A.Yu. Maksimov and  S.A.Stroganov).
  9. Discrete wavelets and the Vilenkin-Chrestenson transform, Math. Notes, 89 (2011), 871–884.
  10. Algorithms for wavelet construction on Vilenkin groups, p-Adic Numbers,  Ultrametric Analysis and Applications. 3 (2011), 181–195. (Co-author: E.A. Rodionov).
  11. Periodic dyadic wavelets and coding of fractal functions, Russian Mathematics (Izvestiya VUZ. Matematika), 56 (2012),  46-56  (Co-author: M.E. Borisov).
  12. Wavelets and frames in Walsh analysis, in: “Wavelets: Classification, Theory and Applications”, Chapter 11. Editors: Manel del Valle et al, Nova Science Publishers,New York, 2012, pp.267-304.
  13. Examples of frames on the Cantor dyadic group,  J. Math. Sciences, 187 (2012), 22-34.
  14. Periodic wavelets in Walsh analysis,  Communic. Math. Appl. 3  (2012), 223–242.
  15. Nonstationary wavelets related to the Walsh functions, American J. Comput. Math  2 (2012), No.2, 82–87 (Co-author: E.A. Rodionov).
  16. Wavelet expansions on the Cantor group, Math. Notes, 96 (2014), 996–1007.
  17. On biorthogonal discrete wavelet bases ,  Intern. J. Wavelets Multiresolut. Inf. Process. 13 (2015),  No. 1, 1550002. 18~pp. (Co-author: E.A. Rodionov).


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