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The Relations between Discrete Frames and Continuous Frames with Respect to (N, μ)
Pages: 503-509
Year: Issue:  4
Journal: Chinese Quarterly Journal of Mathematics

Keyword:  framecontinuous framemeasurable spaceRiesz basisexcess;
Abstract: The discrete frame and the continuous frame in a Hilbert space are discussed. By the tool excess of a sequence, a sufficient and necessary condition is presented under which a discrete frame is equivalent to a continuous frame with respect to the whole natural numbers with a positive Borel measure. And some examples are given to illuminate the condition.
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