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The characterization of a class of multivariate MRA and semi-orthogonal parseval frame wavelets |
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| Authors: | Yun-Zhang Li Feng-Ying Zhou |
| Institution: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, PR China |
| Abstract: | Let A be a d × d expansive matrix with ∣detA∣ = 2. This paper addresses Parseval frame wavelets (PFWs) in the setting of reducing subspaces of L2(Rd). We prove that all semi-orthogonal PFWs (semi-orthogonal MRA PFWs) are precisely the ones with their dimension functions being non-negative integer-valued (0 or 1). We also characterize all MRA PFWs. Some examples are provided. |
| Keywords: | Parseval frame wavelet Semi-orthogonal Parseval frame wavelet MRA Parseval frame wavelet" target="_blank">MRA Parseval frame wavelet MRA Parseval frame wavelet" target="_blank">Semi-orthogonal MRA Parseval frame wavelet |
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