Geodesic
Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 999-1004

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Sharp estimates are derived for the convergence rate of Fourier series in terms of orthogonal systems of functions for certain classes of complex variable functions, and the Kolmogorov $N$-widths of these classes are determined. These issues find applications in numerical analysis methods. 
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     author = {V. A. Abilov and F. V. Abilova and M. K. Kerimov},
     title = {Sharp estimates for the rate of convergence of {Fourier} series of functions of a complex variable in the space $L\sb 2(D,p(z))$},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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V. A. Abilov; F. V. Abilova; M. K. Kerimov. Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 999-1004. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a1/