Riesz basis of wavelets constructed from trigonometric B-splines

DOI10.1142/S0219530514500432zbMath1316.42042MaRDI QIDQ5253869

Mahendra Kumar Jena

Publication date: 5 June 2015

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformRiesz basismultiresolution analysisscaling functionswavelet basistrigonometric B-splinescompactly supported waveletsdual waveletssemiorthogonal waveletsdual scaling functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

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Cites Work

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• A stable recurrence relation for trigonometric B-splines
• Identities for trigonometric B-splines with an application to curve design
• Quasi-interpolants based on trigonometric splines
• Compactly supported wavelet bases for Sobolev spaces
• CONSTRUCTION OF COMPACTLY SUPPORTED WAVELETS FROM TRIGONOMETRIC B-SPLINES
• A theory for multiresolution signal decomposition: the wavelet representation
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• Biorthogonal bases of compactly supported wavelets
• Generalized Daubechies Wavelet Families
• From differential equations to the construction of new wavelet-like bases
• Cardinal exponential splines: part I - theory and filtering algorithms
• A subdivision algorithm for trigonometric spline curves

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