References
P. A. Borodin, Izv. Math. 81 (6), 1080 (2017).
P. A. Borodin and S. V. Konyagin, Anal. Math. 44 (2), 163 (2018).
P. A. Borodin, Proc. Steklov Inst. Math. 303, 31 (2018).
A. P. Antonov, A. N. Bakhvalov, and M. I. D’yachenko, Questions of the Theory of Multiple Trigonometric Series (MAKS Press, Moscow, 2014) [in Russian].
J. Korevaar, Ann. of Math. (2) 80 (3), 403 (1964).
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II: Function Spaces, in Ergeb. Math. Grenzgeb. (Springer- Verlag, Berlin–New York, 1979), Vol. 97.
P. A. Borodin, Izv. Math. 78 (6), 1079 (2014).
Funding
This work was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS.”
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 775–779 https://doi.org/10.4213/mzm13747.
Rights and permissions
About this article
Cite this article
Dyuzhina, N.A. Multidimensional Analogs of Theorems about the Density of Sums of Shifts of a Single Function. Math Notes 113, 731–735 (2023). https://doi.org/10.1134/S0001434623050139
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434623050139