Title

Matrix Fourier multipliers for Parseval multi-wavelet frames

Authors

Authors

Z. Y. Li;D. G. Han

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Appl. Comput. Harmon. Anal.

Keywords

Wavelets; Frames; Multi-wavelet frames; Fourier multipliers; Matrix; Fourier multipliers; CONNECTIVITY; L-2(R-D); DENSITY; SET; Mathematics, Applied; Physics, Mathematical

Abstract

A Fourier multiplier for orthonormal wavelets is an L-infinity-function that sends every orthonormal wavelet to an orthonormal wavelet. This type of multipliers plays an important role in the study of basic properties of wavelets including some geometrical and topological properties of the wavelet theory. Matrix Fourier multipliers are matrices with L-infinity-function entries that map Parseval multi-wavelet frames to Parseval multi-wavelet frames. Like Fourier wavelet multiplier, matrix Fourier multipliers can be used to derive new multi-wavelet frames and can help us better understand the basic theory of multi-wavelet frame theory. In this paper we characterize all the matrix Fourier multipliers for Parseval multi-wavelet frames. (C) 2012 Elsevier Inc. All rights reserved.

Journal Title

Applied and Computational Harmonic Analysis

Volume

35

Issue/Number

3

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

407

Last Page

418

WOS Identifier

WOS:000324848400003

ISSN

1063-5203

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