Generalized wavelet decompositions of bivariate functions /

Bibliographic Details
Main Authors:	Chui, C. K. (Author), Li, Xin (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. 276.
Subjects:	Wavelets (Mathematics) Decomposition (Mathematics) Integral transforms. Linear operators. Approximation theory. Integral transforms, operational calculus > Integral transforms, operational calculus > Special transforms (Legendre, Hilbert, etc.) Functional analysis > Normed linear spaces and Banach spaces; Banach lattices > Summability and bases. Approximations and expansions > Approximations and expansions > Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) Operator theory > Special classes of linear operators > Spectral operators, decomposable operators, well-bounded operators, etc. Wavelet transforms

Description
Abstract:	The objective of this paper is to introduce an integral transform of wavelet-type on L^2(R^2) that can be applied to decompose the space L^2(R^2) into a direct sum of subspaces, each of which is identified as L^2(R). Projections from L^2(R^2) onto these subspaces are also discussed. Moreover, wavelet expansions for functions in L^2(R^2) are derived in terms of wavelet bases of L^2(R).
Item Description:	"August 1992." Funding information taken from page 1.
Physical Description:	9 pages : illustrations ; 28 cm
Bibliography:	Includes bibliographical references (page 9).