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The Relations between Discrete Frames and Continuous Frames with Respect to (N, μ)
作者姓名:LIU  Chun-tai
作者单位:School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430023, China
基金项目:Foundation item: Supported by the Department of Education Scientific Research Plan Project of Hubei Province(B2013221)
摘    要: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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