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|Title:||An algorithm for constructing multidimensional biorthogonal periodic multiwavelets||Authors:||Goh, S.S.
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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