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)
-
The N-widths of Hardy-Sobolev spaces of several
complex variables, J. Approx. Theory, 75 (1993), 183–197.
-
n-Widths, Faber expansion, and computation of
analytic functions, Journal of Complexity, 12 (1996), 58–79.
-
Orthogonal wavelets with compact support on locally
compact Abelian groups, Izvestiya: Mathematics, 69 (2005), 623–650.
-
Dyadic wavelets and refinable functions on a
half-line, Sbornik: Mathematics, 197 (2006), 1529– 558 (Co-author: V.Yu.
Protasov).
-
Biorthogonal wavelets on Vilenkin groups, Proc.
Steklov Inst. Math., 265 (2009), 101–114.
-
Estimates of the smoothness of dyadic orthogonal
wavelets of Daubechies type, Math. Notes, 86 (2009), 392–406. (Co-author: E.A.
Rodionov).
-
On wavelets related to the Walsh series, J. Approx.
Theory, 161 (2009), 259–279.
-
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).
-
Discrete wavelets and the Vilenkin-Chrestenson
transform, Math. Notes, 89 (2011), 871–884.
-
Algorithms for wavelet construction on Vilenkin
groups, p-Adic Numbers, Ultrametric
Analysis and Applications. 3 (2011), 181–195. (Co-author: E.A. Rodionov).
-
Periodic dyadic wavelets and coding of fractal functions,
Russian Mathematics (Izvestiya VUZ. Matematika), 56 (2012), 46-56
(Co-author: M.E. Borisov).
-
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.
-
Examples of frames on the Cantor dyadic group, J. Math. Sciences, 187 (2012), 22-34.
-
Periodic wavelets in Walsh analysis, Communic. Math. Appl. 3 (2012), 223–242.
-
Nonstationary wavelets related to the Walsh
functions, American J. Comput. Math 2
(2012), No.2, 82–87 (Co-author: E.A. Rodionov).
-
Wavelet expansions on the Cantor group, Math. Notes,
96 (2014), 996–1007.
-
On biorthogonal discrete wavelet bases , Intern. J. Wavelets Multiresolut. Inf.
Process. 13 (2015), No. 1, 1550002.
18~pp. (Co-author: E.A. Rodionov).
Profile Details
http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=17357