Affiliation:
1. Department of Mathematics, National Institute of Technology, Srinagar, Jammu and Kashmir, India
Abstract
Tight wavelet frames are different from the orthonormal wavelets because of
redundancy. By sacrificing orthonormality and allowing redundancy, the tight
wavelet frames become much easier to construct than the orthonormal
wavelets. Guo, Labate, Lim, Weiss, and Wilson [Electron. Res. Announc. Am.
Math. Soc. 10 (2004), 78-87] introduced the theory of wavelets with
composite dilations in order to provide a framework for the construction of
waveforms defined not only at various scales and locations but also at
various orientations. In this paper, we provide the characterization of
composite wavelet system to be tight frame for L2(Rn).
Publisher
National Library of Serbia
Reference22 articles.
1. O. Ahmad, N.A. Sheikh, M.A. Ali, Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in L2(K), Afr. Mat. 31 (2020), 1145-1156.
2. O. Ahmad, N.A. Sheikh, On Characterization of nonuniform tight wavelet frames on local fields, Anal. Theory Appl. 34 (2018), 135-146.
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2 articles.
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