On the construction of wavelets on a bounded interval

DOI10.1007/BF02123481zbMath0838.65140MaRDI QIDQ1906078

Kathi K. Selig, Manfred Tasche, Gerlind Plonka-Hoch

Publication date: 9 June 1996

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

splinesdecompositionwaveletreconstructionChebyshev transformfast cosine transformsnonstationary multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items

Fast algorithms for discrete polynomial transforms on arbitrary grids ⋮ BALANCED MULTIWAVELETS ON THE INTERVAL [0,1 WITH ARBITRARY INTEGER DILATION FACTOR a] ⋮ Construction of wavelets and framelets on a bounded interval ⋮ Wavelets based on orthogonal polynomials ⋮ Interpolating polynomial wavelets on \([-1,1\)] ⋮ Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets ⋮ Interpolation of functions from Besov-type spaces on Gauß-Chebyshev grids ⋮ A study of orthonormal multi-wavelets on the interval ⋮ Multiwavelets on the interval

Cites Work

• Ondelettes sur l'intervalle. (Wavelets on the interval)
• The operational properties of the Chebyshev transform. I: General properties
• Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications
• Wavelets on the interval and fast wavelet transforms
• Decomposition and reconstruction algorithms for spline wavelets on a bounded interval
• Using the matrix refinement equation for the construction of wavelets on invariant sets
• On the computation of periodic spline wavelets
• On the construction of multivariate (pre)wavelets
• Periodic orthogonal splines and wavelets
• Polynomial wavelets on the interval
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