Uniform Bounds for Sampling Expansions
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Xin Min Li
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Article
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1998
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Elsevier Science
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English
β 221 KB
Let f # B 2 \_ , i.e., f # L 2 (R) and its Fourier transform F(s)= R f (t) e &2?ist dt vanishes outside of [&\_, \_], then the Shannon sampling theorem says that f can be reconstructed by its infinitely many sampling points at [kΓ(2\_)], k # Z, i.e., But, in practice, only finitely many samples are