a new approach to continuous riesz bases
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abstract
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.
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Journal title:
journal of sciences, islamic republic of iranPublisher: university of tehran
ISSN 1016-1104
volume 24
issue 1 2013
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