期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2007
卷号：17
期号：2
DOI：10.2478/v10006-007-0013-4
出版社：De Gruyter Open
摘要：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
关键词：sampling and interpolation; multi-band signals; Riesz bases; families of exponentials; Wiener-Hopf equations
