Uniqueness theorems for series in the Franklin system

DOI10.1134/S0001434615110140zbMath1358.42020MaRDI QIDQ268091

Gegham Gevorkyan

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Franklin systemDirichlet kernelconvergence in measuretrigonometric seriesCantor's uniqueness theoremFourier-Franklin series

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37)

Related Items (9)

On uniqueness of series by general Franklin system ⋮ Uniqueness theorem for multiple Franklin series ⋮ Uniqueness theorems for Franklin series converging to integrable functions ⋮ Uniqueness of series by general Franklin system with convergent subsequence of partial sums ⋮ Uniqueness theorems for Franklin series ⋮ On \(M^\ast\)-sets for series by Franklin system ⋮ On recovery of coefficients of Franklin series with a ``good majorant of partial sums ⋮ Uniqueness theorems for multiple Franklin series converging over rectangles ⋮ Uniqueness of series in the Franklin system and the Gevorkyan problems

Cites Work

• Uniqueness of series with respect to general Franklin systems
• Properties of the orthonormal Franklin system, II
• Properties of the orthonormal Franklin system
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