Geodesic
Babenko's work on spherical Lebesgue constants
Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 79-81.

Voir la notice de l'article provenant de la source Math-Net.Ru

The idea of this note is two-fold. On the one hand, this is a preface to the publication of English translation of the celebrated K.I. Babenko' preprint. On the other hand, we give a brief background of the topic at that time and in the subsequent years. 
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E. Liflyand. Babenko's work on spherical Lebesgue constants. Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 79-81. http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a5/

[1] K.I. Babenko, On the mean convergence of multiple Fourier series and the asymptotics of the Dirichlet kernel of spherical means, Preprint no. 52, Institut Prikladnoi Matematiki Akademii Nauk USSR, M., 1971 (in Russian)

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[7] E. Liflyand, “Lebesgue constants of multiple Fourier series”, Online J. Anal. Combin., 1 (2006), 112 pp.

[8] H. S. Shapiro, “Lebesgue constants for spherical partial sums”, J. Appr. Theory, 13 (1975), 40–44 | DOI

[9] E. M. Stein, “On certain exponential sums arising in multiple Fourier series”, Ann. Math., 73 (1961), 87–109 | DOI

[10] R. M. Trigub, E. S. Belinsky, Fourier analysis and approximation of functions, Kluwer, 2004