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Matematicheskie Zametki, 2007, Volume 82, Issue 4, Pages 483–494
DOI: https://doi.org/10.4213/mzm4017 (Mi mzm4017) 		 
Multipliers of Convergence in Norm of Series with Respect to Multiplicative Systems

N. Yu. Agafonova, S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
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DOI: https://doi.org/10.4213/mzm4017
Abstract: We prove analogs of the Telyakovskii–Pochuev criteria for multipliers of uniform convergence and of convergence in the integral metric for multiplicative systems with bounded generating sequence.
Keywords: multipliers of convergence in norm, multipliers of uniform convergence, multiplicative system, Walsh system, Borel measure, Fourier–Stieltjes coefficients.
Received: 04.07.2006
Revised: 22.11.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 4, Pages 433–442
DOI: https://doi.org/10.1134/S0001434607090167
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: N. Yu. Agafonova, S. S. Volosivets, “Multipliers of Convergence in Norm of Series with Respect to Multiplicative Systems”, Mat. Zametki, 82:4 (2007), 483–494; Math. Notes, 82:4 (2007), 433–442
Citation in format AMSBIB
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