RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2019 Volume 83, Issue 2, Pages 83–96 (Mi im8769)

An exponential estimate for the cubic partial sums of multiple Fourier series

G. A. Karagulyan, H. Mkoyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: We prove an exponential integral estimate for the cubic partial sums of multiple Fourier series on sets of large measure. This estimate yields some new properties of Fourier series.

Keywords: multiple Fourier series, exponential integral estimates, cubic partial sums.

UDC: 517.518.47

MSC: 40F05, 42B08

Received: 06.02.2018
Revised: 26.06.2018

DOI: 10.4213/im8769


 English version:
Izvestiya: Mathematics, 2019, 83:2, 273–286

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024