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matrix extension

Proceedings of the Edinburgh Mathematical Society (1)

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An algorithm for constructing multidimensional biorthogonal periodic multiwavelets
Say Song Goh, K. M. Teo
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 3 / October 2000

Published online by Cambridge University Press:

20 January 2009, pp. 633-649
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This paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines 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.