A characterization of L-dual frames and L-dual Riesz bases
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Abstract:
This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.
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Journal title
volume 37 issue No. 3
pages 21- 32
publication date 2011-09-15
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