Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X37No. 320110915A characterization of L-dual frames and L-dual Riesz bases2132349ENA.AhmadiA.Askari HemmatJournal Article20091106This 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 $L^{2}(G)$.http://bims.iranjournals.ir/article_349_e505bfd0f796940777bc05b6fd51c8f5.pdf