Bessel sequences and affine frames /

Bibliographic Details
Main Authors:	Chui, C. K. (Author), Shi, X. (Author)
Corporate Authors:	National Science Foundation (U.S.) (sponsoring body.), United States. Army Research Office (sponsoring body.)
Format:	Book
Language:	English
Published:	College Station, Texas : Center for Approximation Theory, Department of Mathematics, Texas A & M University, 1992.
Series:	CAT report ; no. 267.
Subjects:	Bessel polynomials. Wavelets (Mathematics) Frames (Vector analysis) Inequalities (Mathematics) Approximation theory. Approximations and expansions > Approximations and expansions > Inequalities in approximation (Bernstein, Jackson, Nikolʹskiĭ-type inequalities) Approximations and expansions > Approximations and expansions > Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) Harmonic analysis on Euclidean spaces > Nontrigonometric harmonic analysis > None of the above, but in this section. Duals Characterizations Lip a Lip alpha

Description
Abstract:	Criteria, in terms of certain smoothness and rate of decay, of square-integrable functions that generate Bessel sequences are given. As a consequence, it is shown that frames are obtained by arbitrarily oversampling any of the well-known wavelets. On the other hand, for any integral scaling parameter a, it is also shown that nx oversampling of any frame preserves the frame bounds, provided that n and a are relatively prime; consequently, for tight frames, and more generally frames with duals, the frame series representations remain valid for such oversampling.
Item Description:	"April 1992, revised: June 1992." Funding information taken from page 1.
Physical Description:	38 pages ; 28 cm
Bibliography:	Includes bibliographical references (pages 37-38).