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Matematicheskie Zametki, 2020, Volume 107, Issue 4, Pages 515–532
DOI: https://doi.org/10.4213/mzm12426 (Mi mzm12426) 		 
Lower Bounds for the Wiener Norm in $\mathbb Z_p^d$

M. R. Gabdullinab

a Lomonosov Moscow State University
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm12426
Abstract: We obtain lower bounds for the $\ell_1$-norm of the Fourier transform of functions on $\mathbb Z_p^d$.
Keywords: Fourier transform, Wiener norm, linear space over a finite field.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
This work was supported by the Government of the Russian Federation under grant 14.W03.31.0031.
Received: 29.04.2019
Revised: 27.08.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 4, Pages 574–588
DOI: https://doi.org/10.1134/S0001434620030244
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. R. Gabdullin, “Lower Bounds for the Wiener Norm in $\mathbb Z_p^d$”, Mat. Zametki, 107:4 (2020), 515–532; Math. Notes, 107:4 (2020), 574–588
Citation in format AMSBIB
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