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Explicit bounds of complex exponential frames

Abstract

We discuss the stability of complex exponential frames in,. Specifically, we improve the-theorem and obtain explicit upper and lower bounds for some complex exponential frames perturbed along the real and imaginary axes, respectively. Two examples are given to show that the bounds are best possible. In addition, the growth of the entire functions of exponential type on the integer sequence is estimated.

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Correspondence to Hualiang Zhong.

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Zhong, H., Boivin, A. & Peters, T.M. Explicit bounds of complex exponential frames. J Inequal Appl 2006, 38173 (2006). https://doi.org/10.1155/JIA/2006/38173

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Keywords

  • Explicit Bound
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