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Non-uniform bounds for geometric approximation

โœ Scribed by M.J. Phillips; Graham V. Weinberg


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
49
Category
Article
ISSN
0167-7152

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Uniform Bounds for Sampling Expansions
โœ Xin Min Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 [kร‚(2\_)], k # Z, i.e., But, in practice, only finitely many samples are