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Whittaker-Kotelnikov-Shannov type sampling theory and the estimates of aliasing error

Whittaker-Kotelnikov-Shannov type sampling theory and the estimates of aliasing error
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摘要 Let E be a finite interval or real axis R and denote by L<sub>p</sub>(E), 1≤p≤∞, the classical Lebesque space with usual norm. Let r∈N and denote by L<sub>p</sub><sup>r</sup>(R), 1≤p≤∞, the subspace of functions f in L<sub>p</sub>(R) for which the (r-1)-th derivative exists and is locally absolutely continuous on R and ||f<sup>f</sup>||P(R) is finite. Further
作者 房艮孙
出处 《Chinese Science Bulletin》 SCIE EI CAS 1995年第4期278-282,共5页
基金 Project supported by the National Natural Science Foundation of China
关键词 bandlimited functions ESTIMATE of ERROR ALIASING ERROR MODULUS of smoothness. HANDLIMITED FUNCTIONS ESTIMATE OF ERROR ALIASING ERROR MODULUS OF SMOOTHNESS
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