On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

DOI10.1016/j.jat.2017.05.007zbMath1409.42025OpenAlexW2734350273MaRDI QIDQ1711825

Jürgen Prestin, Nadiia Derevianko, Vitalii Myroniuk

Publication date: 18 January 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2017.05.007

zbMATH Keywords

anisotropic periodic multiresolution analysisbivariate trigonometric Schauder basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for trigonometric approximation and interpolation (65T40) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

A higher order Faber spline basis for sampling discretization of functions

Cites Work

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• Multivariate periodic wavelet analysis
• Orthonormal polynomial bases in function spaces
• Box splines
• A note on orthonormal polynomial bases and wavelets
• Growth of degrees of polynomial bases
• Orthogonal trigonometric Schauder bases of optimal degree for \(C(K)\)
• Periodic orthogonal splines and wavelets
• Multivariate periodic wavelets of de la Vallée Poussin type
• The metric theory of functions

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