Uniqueness theorems for one-dimensional and double Franklin series

DOI10.1070/IM8889zbMath1452.42016OpenAlexW2996313431MaRDI QIDQ5135762

Gegham Gevorkyan

Publication date: 23 November 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8889

zbMATH Keywords

double seriesuniqueness theoremFranklin system\(U\)-setVallée-Poussin set

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Uniqueness theorems for multiple Franklin series converging over rectangles

Cites Work

• Boundedness of convergent mean multiple functional series
• On series with respect to the Franklin system
• \(\lambda\)-convergence of multiple Walsh-Paley series and sets of uniqueness
• Uniqueness theorems for series by Vilenkin system
• Uniqueness theorems for generalized Haar systems
• Uniqueness theorems for Franklin series
• Decomposition of dyadic measures and unions of closed $ \mathscr{U}$-sets for series in a Haar system
• ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
• THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
• On the problem of reconstructing the coefficients of convergent multiple function series
• Uniqueness theorems for Franklin series converging to integrable functions
• SOLVED AND UNSOLVED PROBLEMS IN THE THEORY OF TRIGONOMETRIC AND ORTHOGONAL SERIES
• Properties of the orthonormal Franklin system, II
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• Properties of the orthonormal Franklin system
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