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Mat. Zametki, 2018 Volume 104, Issue 5, Pages 667–679 (Mi mzm12169)
On Exponential Summability of Rectangular Partial Sums of Double Trigonometric Fourier Series

U. Goginavaa, G. Karagulianb

a Tbilisi Ivane Javakhishvili State University
b Yerevan State University

Abstract: In this paper, we study the a.e. exponential strong summability problem for the rectangular partial sums of double trigonometric Fourier series of functions in $L\log L$.

Keywords: double Fourier series, strong summability, exponential means.

UDC: 517.518.56

Received: 28.03.2017

DOI: 10.4213/mzm12169


 English version: Mathematical Notes, 2018, 104:5, 655–665

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© Steklov Math. Inst. of RAS, 2024