Please use this identifier to cite or link to this item: 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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