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https://doi.org/10.1017/S0013091500021246
Title: | An algorithm for constructing multidimensional biorthogonal periodic multiwavelets | Authors: | Goh, S.S. Teo, K.M. |
Keywords: | Matrix extension Multidimensional biorthogonal periodic multiwavelets |
Issue Date: | Oct-2000 | Citation: | Goh, S.S., Teo, K.M. (2000-10). An algorithm for constructing multidimensional biorthogonal periodic multiwavelets. Proceedings of the Edinburgh Mathematical Society 43 (3) : 633-649. ScholarBank@NUS Repository. https://doi.org/10.1017/S0013091500021246 | Abstract: | This paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines are introduced to reduce the problem to a matrix extension problem, and an algorithm for solving the matrix extension problem is derived. Sufficient conditions for collections of periodic multiwavelets to form a pair of biorthogonal Riesz bases of the entire function space are also obtained. | Source Title: | Proceedings of the Edinburgh Mathematical Society | URI: | http://scholarbank.nus.edu.sg/handle/10635/104532 | ISSN: | 00130915 | DOI: | 10.1017/S0013091500021246 |
Appears in Collections: | Staff Publications |
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