Construction of Schauder decomposition on banach spaces of periodic functions

DOI10.1017/S001309150001943XzbMath0891.41021MaRDI QIDQ4354299

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Publication date: 16 September 1997

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

zbMATH Keywords

decomposition algorithmsorthogonal projectionsbiorthogonal systemreconstruction algorithmsSchauder decompositioninterpolatory projections

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

Multivariate periodic wavelets ⋮ Multidimensional periodic discrete wavelets ⋮ On construction of periodic wavelet frames ⋮ Discrete periodic multiresolution analysis ⋮ On sufficient frame conditions for periodic wavelet systems ⋮ Sufficient conditions for a multidimensional system of periodic wavelets to be a frame ⋮ A Family of Approximation Formulas and some Applications

Cites Work

• Unnamed Item
• Using the refinement equation for the construction of pre-wavelets
• On trigonometric wavelets
• Periodic orthogonal splines and wavelets
• Wavelets associated with periodic basis functions
• Local decomposition of refinable spaces and wavelets
• Orthonormal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Dyadic Affine Decompositions and Functional Wavelet Transforms
• Introduction to the Theory of Bases

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