@misc{Avdonin_Sergei_Construction, author={Avdonin, Sergei and Bulanova, Anna and Moran, William}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={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.}, type={artykuł}, title={Construction of sampling and interpolating sequences for multi-band signals. The two-band case}, keywords={sampling and interpolation, multi-band signals, Riesz bases, families of exponentials, Wiener-Hopf equations}, }