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 $L^{2}(G)$.
Ahmadi, A., & Askari Hemmat, A. (2011). A characterization of L-dual frames and L-dual Riesz bases. Bulletin of the Iranian Mathematical Society, 37(No. 3), 21-32.
MLA
A. Ahmadi; A. Askari Hemmat. "A characterization of L-dual frames and L-dual Riesz bases". Bulletin of the Iranian Mathematical Society, 37, No. 3, 2011, 21-32.
HARVARD
Ahmadi, A., Askari Hemmat, A. (2011). 'A characterization of L-dual frames and L-dual Riesz bases', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 21-32.
VANCOUVER
Ahmadi, A., Askari Hemmat, A. A characterization of L-dual frames and L-dual Riesz bases. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 3): 21-32.