On the mean convergence of multiple Fourier series and the asymptotics of the Dirichlet kernel of spherical means

Konstantin Babenko

doi:10.32523/2077-9879-2018-9-4-22-60

On the mean convergence of multiple Fourier series and the asymptotics of the Dirichlet kernel of spherical means

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Authors

Konstantin Babenko

DOI:

https://doi.org/10.32523/2077-9879-2018-9-4-22-60

Keywords:

Lebesgue constants, Fourier transform, integrability

Abstract

Preprint no. 52 (1971), Institut Prikladnoi Matematiki Akademii Nauk USSR, Moscow (in Russian). Translated into English by E. Liflyand. See comments to this paper by E. Liflyand in this volume of the Eurasian Mathematical Journal.

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Published

2018-12-30

How to Cite

Babenko, K. (2018). On the mean convergence of multiple Fourier series and the asymptotics of the Dirichlet kernel of spherical means . Eurasian Mathematical Journal, 9(4), 22–60. https://doi.org/10.32523/2077-9879-2018-9-4-22-60