Construction of wavelet analysis in the space of discrete splines using Zak transform

DOI10.1007/S00041-002-0004-7zbMath0993.42015OpenAlexW2061588608MaRDI QIDQ1602278

Valery A. Zheludev, Aleksandr Borisovich Pevny

Publication date: 25 September 2002

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

Full work available at URL: https://doi.org/10.1007/s00041-002-0004-7

zbMATH Keywords

waveletssignal processingRiesz basesZak transformmultiscale representationdiscrete splinesspace of discrete-time signals

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Spline approximation (41A15)

Related Items (5)

Zak transform for semidirect product of locally compact groups ⋮ The continuous Zak transform and generalized Gabor frames ⋮ WAVELET RIESZ BASES IN THE SPACE ℓ²(ℤ) ⋮ Spline wavelets in \(\ell^{2}(Z)\) ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

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