Spline characterizations of the Radon-Nikodým property

DOI10.1090/PROC/14711OpenAlexW2964311445MaRDI QIDQ5210952

Markus Passenbrunner

Publication date: 16 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01861

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (3)

Martingale convergence theorems for tensor splines ⋮ Almost everywhere convergence of spline sequences ⋮ Martingale inequalities for spline sequences

Cites Work

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• Orthogonal projectors onto spaces of periodic splines
• On almost everywhere convergence of orthogonal spline projections with arbitrary knots
• Martingales in Banach Spaces
• A martingale approach to general Franklin systems
• Unconditionality of orthogonal spline systems in L^p
• Unconditionality of periodic orthonormal spline systems in $L^p$
• The \(L_\infty\)-norm of the \(L_2\)-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture

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