a new approach to continuous riesz bases

نویسندگان

a.a. arefijamaal

r.a. kamyabi gol

r. raisi tousi

n. tavallaei

چکیده

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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عنوان ژورنال:
journal of sciences, islamic republic of iran

ناشر: university of tehran

ISSN 1016-1104

دوره 24

شماره 1 2013

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