Uniqueness theorem for multiple Franklin series

DOI10.1134/S0001434617010266zbMath1440.42129MaRDI QIDQ2396415

Gegham Gevorkyan

Publication date: 8 June 2017

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

zbMATH Keywords

uniquenessFranklin systemmultiple series

Mathematics Subject Classification ID

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

Related Items (9)

On uniqueness of series by general Franklin system ⋮ On convergence of partial sums of Franklin series to \(+\infty\) ⋮ Martingale convergence theorems for tensor splines ⋮ On convergence of quadratic partial sums of a multiple Franklin series to infinity ⋮ Convergence to infinity for orthonormal spline series ⋮ A uniqueness theorem for multiple orthonormal spline series ⋮ On recovery of coefficients of Franklin series with a ``good majorant of partial sums ⋮ On the convergence of Franklin series to \(+\infty \) ⋮ A uniqueness theorem for Franklin series

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness theorems for series in the Franklin system
• The Franklin system is an unconditional basis in \(H_ 1\)
• Uniqueness of series with respect to general Franklin systems
• Differentiation of integrals in \(\mathbb{R}^n\)
• Some inequalities for Franklin series
• Majorants and uniqueness of series in the Franklin system
• Properties of the orthonormal Franklin system, II
• Properties of the orthonormal Franklin system
• Uniqueness of series by generalized Franklin systems

This page was built for publication: Uniqueness theorem for multiple Franklin series