Title

Frame Wavelet Sets In ℝD

Keywords

Fourier transform; Frame; Frame wavelet; Frame wavelet set; Wavelet

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 ℝd. Several examples are presented and compared with those in the one-dimensional case. Using our results, one can easily construct various frame wavelet sets. © 2003 Published by Elsevier Science B.V.

Publication Date

6-1-2003

Publication Title

Journal of Computational and Applied Mathematics

Volume

155

Issue

1

Number of Pages

69-82

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0377-0427(02)00892-0

Socpus ID

0038317911 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0038317911

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