%0 Journal Article
%T A New Approach to Continuous Riesz Bases
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Arefijamaal, A.A.
%A Kamyabi Gol, R.A.
%A Raisi Tousi, R.
%A Tavallaei, N.
%D 2013
%\ 03/01/2013
%V 24
%N 1
%P 63-69
%! A New Approach to Continuous Riesz Bases
%K Continuous frame
%K Continuous orthonormal basis
%K Continuous Riesz basis
%R
%X This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a continuous Riesz basis. Finally we find a measure with respect to which, a continuous wavelet frame is a continuous Riesz basis.
%U https://jsciences.ut.ac.ir/article_31924_e476eb337f845777bb13757486bf7036.pdf