Wang, Jianjun; Fang, Gensun A multidimensional sampling theorem and an estimate of the aliasing error. (Chinese. English summary) Zbl 1019.62500 Acta Math. Appl. Sin. 19, No. 4, 481-488 (1996). Summary: We prove a Marcinkiewicz-type inequality for entire functions of exponential type, and from this result we obtain a Whittaker-Kotel’nikov-Shannon-type sampling theorem in the multiple variable case and determine the aliasing error on the Sobolev classes. Cited in 1 ReviewCited in 9 Documents MSC: 62B10 Statistical aspects of information-theoretic topics 94A13 Detection theory in information and communication theory PDFBibTeX XMLCite \textit{J. Wang} and \textit{G. Fang}, Acta Math. Appl. Sin. 19, No. 4, 481--488 (1996; Zbl 1019.62500)