Abstract
In this note, the notion of a sort of vector-valued quarternary wavelet wraps with quantity dilation matrix is introduced. A new method for designing a kind of biorthogonal vector-valued wavelet wraps in vector-valued quarternary function space is developed and their biorthogonality property is studied by virtue of iterative method and time-frequency analysis method, and operator theory. Two biorthogonality formulas concerning these wavelet packets are presented. Moreover, it is shown how to gain new Riesz bases of space L 2(R u)v form these wavelet wraps.
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Wang, B., Kong, Y. (2011). The Traits of Biorthogonal Quarternary Small Function Wraps According to Quantity Matrix Dilation. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_17
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DOI: https://doi.org/10.1007/978-3-642-23756-0_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23755-3
Online ISBN: 978-3-642-23756-0
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