On series with respect to the Franklin system

DOI10.1007/BF01907538zbMath0706.42019MaRDI QIDQ919216

Gegham Gevorkyan

Publication date: 1990

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

Franklin systemHaar systemFourier-Franklin series

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (11)

Majorants and uniqueness of series in the Franklin system ⋮ The Gibbs phenomenon for general Franklin systems ⋮ Uniqueness theorems for Franklin series converging to integrable functions ⋮ On a property of the Franklin system in \(C[0, 1\) and \(L^1[0, 1]\)] ⋮ Uniqueness theorems for Franklin series ⋮ Uniqueness theorems for one-dimensional and double Franklin series ⋮ On absolute convergence of series by a general Franklin system ⋮ On characterization of unbounded divergence sets of series in Franklin system ⋮ On series by general Franklin system ⋮ On local equivalence of the majorant of partial sums and Paley function of Franklin series ⋮ Uniqueness theorems for multiple Franklin series converging over rectangles

Cites Work

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• Period, index and potential \(\text Ш\)
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• Über die Divergenz von allgemeinen Orthogonalreihen
• Constructive function theory and spline systems
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
• Properties of the orthonormal Franklin system

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