Geodesic
Order estimates of smallest norms, with respect to the choice of $N$ harmonics, of derivatives of the Dirichlet and Favard kernels
Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 567-578

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The Dirichlet kernel is defined for periodic functions of several variables; it consists of $N$ harmonics and has minimal order of the norm with respect to the choice of harmonics of the mixed Weyl derivative in the space $\tilde L_q$. A similar problem on the minimal order of the norm is solved for the Favard kernel. Both problems generalize to the case of several derivatives. 
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     author = {\`E. M. Galeev},
     title = {Order estimates of smallest norms, with respect to the choice of $N$ harmonics, of derivatives of the {Dirichlet} and {Favard} kernels},
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     language = {en},
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È. M. Galeev. Order estimates of smallest norms, with respect to the choice of $N$ harmonics, of derivatives of the Dirichlet and Favard kernels. Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 567-578. http://geodesic.mathdoc.fr/item/SM_1992_72_2_a16/