Uniqueness theorems for multiple Franklin series converging over rectangles

DOI10.1134/S0001434621010247zbMath1467.42051OpenAlexW3178608561MaRDI QIDQ2037652

L. A. Hakobyan, Gegham Gevorkyan

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621010247

zbMATH Keywords

uniqueness theoremFranklin systemmultiple series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Uniqueness and localization for orthogonal series (42C25)

Cites Work

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• Uniqueness theorems for series in the Franklin system
• 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 the uniqueness of series in the Franklin system
• ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
• On the problem of reconstructing the coefficients of convergent multiple function series
• Uniqueness theorems for Franklin series converging to integrable functions
• Uniqueness theorems for one-dimensional and double Franklin series
• Properties of the orthonormal Franklin system, II
• Cantor uniqueness and multiplicity along subsequences

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