Some applications of projection operators in wavelets

DOI10.1007/BF02274053zbMath0831.42022OpenAlexW1499108193MaRDI QIDQ4849495

Bin Han

Publication date: 11 February 1996

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02274053

zbMATH Keywords

waveletsmultiresolution analysisprojection operator\(\Gamma\)-shift- invariant subspacedual wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items

The wavelet dimension function is the trace function of a shift-invariant system ⋮ On dual wavelet tight frames ⋮ Dyadic bivariate wavelet multipliers in \(L^2(\mathbb R^2)\) ⋮ A characterization of dimension functions of a class of semi‐orthogonal Parseval frame wavelets ⋮ A characterization of wavelet families arising from biorthogonal MRA's of multiplicity \(d\) ⋮ Homogeneous wavelets and framelets with the refinable structure ⋮ Characterization of compact support of Fourier transform for orthonormal wavelets of \(L^2(\mathbb R^d)\)

Cites Work

• Unnamed Item
• Band-limited wavelets
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• On dual wavelet tight frames