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2007 | 17 | 2 | 143-156
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Construction of sampling and interpolating sequences for multi-band signals. the two-band case

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Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator.
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  • Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, AK 99775–6660, USA
  • Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, AK 99775–6660, USA
  • Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne Victoria 3010, Australia
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