Vector sampling expansions in shift invariant subspaces

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چکیده

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Multivariate vector sampling expansions in shift invariant subspaces

In this paper, we study multivariate vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a multivariate vector sampling theorem to hold are given.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2007

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2006.02.033