On Compact Wavelet Matrices of Rank m and of Order and Degree N |
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| Authors: | Lasha Ephremidze Edem Lagvilava |
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| Institution: | 1. I. Javakhishvili State University, University Street, 0143?, Tbilisi, Georgia
2. A. Razmadze Mathematical Institute, 6, Tamarashvili Str, 0177?, Tbilisi, Georgia
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| Abstract: | A new parametrization (one-to-one onto map) of compact wavelet matrices of rank $m$ and of order and degree $N$ is proposed in terms of coordinates in the Euclidian space $\mathbb {C}^{(m-1)N}$ . The developed method depends on Wiener–Hopf factorization of corresponding unitary matrix functions and allows to construct compact wavelet matrices efficiently. Some applications of the proposed method are discussed. |
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