On convergence of quadratic partial sums of a multiple Franklin series to infinity

DOI10.3103/S1068362320010033zbMath1453.42024OpenAlexW3095596282WikidataQ114039179 ScholiaQ114039179MaRDI QIDQ2208780

Gegham Gevorkyan, Martin G. Grigoryan

Publication date: 4 November 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362320010033

zbMATH Keywords

Franklin systemmultiple seriesconvergence to infinity

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (1)

On the problem of convergence of double functional series to \(+\infty\)

Cites Work

• Limits of indeterminacy of trigonometric series
• Convergence to infinity for orthonormal spline series
• Uniqueness theorem for multiple Franklin series
• On the uniqueness of series in the Franklin system
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
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