Title
Frame wavelet sets in R-d
Abbreviated Journal Title
J. Comput. Appl. Math.
Keywords
frame; wavelet; frame wavelet; frame wavelet set; Fourier transform; Mathematics, Applied
Abstract
In this paper, we discuss the characterization of frame wavelet sets. We extend some results obtained earlier in the one-dimensional case. More specifically, we completely characterize tight frame wavelet sets in higher dimensions and obtain some necessary conditions and sufficient conditions for a set E to be a frame wavelet set in R-d. Several examples are presented and compared with those in the one-dimensional case. Using our results, one can easily construct various frame wavelet sets. (C) 2003 Published by Elsevier Science B.V.
Journal Title
Journal of Computational and Applied Mathematics
Volume
155
Issue/Number
1
Publication Date
1-1-2003
Document Type
Article; Proceedings Paper
Language
English
First Page
69
Last Page
82
WOS Identifier
ISSN
0377-0427
Recommended Citation
"Frame wavelet sets in R-d" (2003). Faculty Bibliography 2000s. 2556.
https://stars.library.ucf.edu/facultybib2000/2556