The Traits of Dual Multiple Ternary Fuzzy Frames of Translates with Ternary Scaling Functions
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چکیده
The rise of frame theory in appled mathematics is due to the flexibility and redundancy of frames. Structured frames are much easier to construct than Structured orthonormal bases. In this work, the notion of the ternary generalized multiresolution structure (TGMS) of subspace 2 3 ( ) L R is proposed, which is the generalization of the ternary frame multiresolution analysis. The biorthogonality character is characterized by virtue of iteration method and variable separation approach. The biorthogonality formulas concerning these wavelet packages are established.The construction of a TGMS of Paley-Wiener subspace of 2 3 ( ) L R is studied. The pyramid decomposition scheme is obtained based on such a TGMS and a sufficient condition for its existence is provided. A procedure for designing a class of orthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis method.
منابع مشابه
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تاریخ انتشار 2011