Wavelets in wandering subspaces /

Bibliographic Details
Main Authors:	Goodman, Tim (Author), Lee, S. L. (Author), Tang, W. S. (Author)
Format:	Book
Language:	English
Published:	College Station, Texas : Center for Approximation Theory, Department of Mathematics, Texas A & M University, 1991.
Series:	CAT report ; no. 256.
Subjects:	Wavelets (Mathematics) Spline theory. Hilbert space. Unitary operators. Approximation theory. Approximations and expansions > Approximations and expansions > Spline approximation. Harmonic analysis on Euclidean spaces > Nontrigonometric harmonic analysis > General harmonic expansions, frames. Operator theory > Special classes of linear operators > Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) Wandering subspaces Hermite B-splines

Description
Abstract:	Mallat's construction, via a multiresolution approximation, of orthonormal wavelets generated by a single function is extended to wavelets generated by a finite set of functions. The connection between multiresolution approximation and the concept of wandering subspaces of unitary operators in Hilbert space is exploited in the general setting. An example of multiresolution approximation generated by cardinal Hermite B-splines is constructed.
Item Description:	"March 1991." Statement of responsibility should read: T.N.T. Goodman, S.L. Lee, and W.S. Tang.
Physical Description:	17 leaves ; 28 cm
Bibliography:	Includes bibliographical references (leaf 17).