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Concerning the multiplicators of Fourier series in the trigonometric system
Authors:E D Nursultanov
Institution:(1) Institute of Applied Mathematics of the Republic of Kazakhstan, Karaganda
Abstract:In this paper we prove theorems on multiplicators of Fourier series inL p, where the conditions depend on a parameterp. An example illustrating the importance of these conditions is constructed. Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 235–247, February, 1998.
Keywords:Fourier series  multiplicators  estimate of a Fourier partial sum  Marcinkiewicz theorem
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