An exponential estimate for the square partial sums of multiple Fourier series
Grigori Karagulyan, Hasmik Mkoyan
TL;DR
This paper establishes an exponential integral estimate for quadratic partial sums of multiple Fourier series on large sets, revealing new properties of Fourier series and advancing understanding of their convergence behavior.
Contribution
It introduces a novel exponential estimate for partial sums of multiple Fourier series, providing new insights into their properties and convergence.
Findings
Exponential integral estimate for quadratic partial sums
Implications for convergence properties of Fourier series
New properties of multiple Fourier series
Abstract
We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.
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