Translational averaging for completeness, characterization and oversampling of wavelets.

zbMath1035.42035MaRDI QIDQ1396459

Richard Snyder Laugesen

Publication date: 30 June 2003

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42924

zbMATH Keywords

orthonormal waveletdual frameoversamplingtight frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (10)

System bandwidth and the existence of generalized shift-invariant frames ⋮ Characterizations of tight over-sampled affine frame systems and over-sampling rates ⋮ Two Banach spaces of atoms for stable wavelet frame expansions ⋮ Frequency-scale frames and the solution of the Mexican hat problem ⋮ A unified characterization of reproducing systems generated by a finite family. II ⋮ Oversampling, quasi-affine frames, and wave packets ⋮ Affine and quasi-affine frames for rational dilations ⋮ On the local integrability condition for generalised translation-invariant systems ⋮ On affine frames with transcendental dilations ⋮ Oversampling generates super-wavelets

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