A characterization of L-dual frames and L-dual Riesz bases
نویسندگان
چکیده مقاله:
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 $L^{2}(G)$.
منابع مشابه
a characterization of l-dual frames and l-dual riesz bases
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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عنوان ژورنال
دوره 37 شماره No. 3
صفحات 21- 32
تاریخ انتشار 2011-09-15
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