Inequalities of Littlewood-Paley type for frames and wavelets /

Bibliographic Details
Main Authors:	Chui, C. K. (Author), Shi, X. (Author)
Corporate Author:	National Science Foundation (U.S.) (sponsoring body.)
Format:	Book
Language:	English
Published:	College Station, Texas : Center for Approximation Theory, Department of Mathematics, Texas A & M University, 1991.
Series:	CAT report ; no. 249.
Subjects:	Inequalities (Mathematics) Frames (Vector analysis) Wavelets (Mathematics) Littlewood-Paley theory. Approximation theory. Approximations and expansions > Approximations and expansions > Inequalities in approximation (Bernstein, Jackson, Nikolʹskiĭ-type inequalities) Harmonic analysis on Euclidean spaces > Nontrigonometric harmonic analysis > General harmonic expansions, frames. Littlewood-Paley inequalities Frame bounds Biorthogonal wavelets

Description
Abstract:	Inequalities of Littlewood-Paley type for frames in both the wavelet and Weyl-Heisenberg settings, and those for any unconditional basis of the form $ psi _{j,k} (x) = 2^{ frac{j}{2}} psi (2^j x - k)$, are established. In particular, if $ { psi _{j,k} } $ is a semi-orthogonal basis, then the Littlewood-Paley identity is obtained. A similar identity for the "biorthogonal wavelets" of Cohen, Daubechies, and Feauveau is also obtained.
Item Description:	"May 1991." Funding information taken from page 1.
Physical Description:	22 pages ; 28 cm
Bibliography:	Includes bibliographical references (page 22).