Titlebook: New Perspectives on Approximation and Sampling Theory; Festschrift in Honor Ahmed I. Zayed,Gerhard Schmeisser Book 2014 Springer Internatio

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Signal Sampling and Testing Under Noise, are examined. In the first one, the complete data set is given in advance and we wish to test the null hypothesis that a signal takes a certain parametric form. This situation we call the off-line testing problem. In the second case, the data are collected in the sequential fashion and one would li

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Superoscillations,apter is to discuss this phenomenon, which has been called “superoscillation”. Although the theoretical interest in superoscillating functions is relatively recent, a number of applications are already known (in quantum physics, superresolution, subwavelength imaging and antenna theory). This chapte

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The Lebesgue Constant for Sinc Approximations,rive explicit values of . and . and the expression .. We also provide graphic, illustrations of Lebesgue functions and Lebesgue constants for polynomial and Sinc approximations. These enable novel insights into the stability of these approximations in computation.

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Six (Seven) Problems in Frame Theory,nsider new problems. And it is due to great personalities, whose positive attitude and support make us go the extra mile in order to reach the goal. Professor Butzer has all these properties. It is a great honor for me to be invited to contribute to a book that celebrates him and his work, and I wan

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