Frame Wavelet Sets In ℝD
Fourier transform; Frame; Frame wavelet; Frame wavelet set; Wavelet
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.
Journal of Computational and Applied Mathematics
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Dai, X.; Diao, Y.; and Gu, Q., "Frame Wavelet Sets In ℝD" (2003). Scopus Export 2000s. 1734.