Title

Oversampling Generates Super-Wavelets

Keywords

Affine; Dilations; Extensions; Frame; Frames; Hilbert space; Interpolation; Lattice; Operators; Oversampling; Sampling; Scaling; Super wavelets; Wavelet

Abstract

We show that the second oversampling theorem for affine systems generates super-wavelets. These are frames generated by an affine structure on the space L2 (ℝd)... L2 (ℝd)/p times. © 2007 American Mathematical Society.

Publication Date

7-1-2007

Publication Title

Proceedings of the American Mathematical Society

Volume

135

Issue

7

Number of Pages

2219-2227

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-07-08724-2

Socpus ID

47949124619 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/47949124619

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