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proof of sampling theorem
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(Proof)
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Cross-references: bounded, Fourier coefficients, Parseval's theorem, Cauchy-Schwarz inequality, converges uniformly, converges, series, period, pointwise, measure zero, continuous function, inverse, sum, infinite, Fourier series, expand, sinc function, mapping, interval, functions, orthonormal basis, Plancherel's theorem, Transform, unitary, Fourier transform, inner product, Hilbert space, complex, space of functions, variable
This is version 10 of proof of sampling theorem, born on 2006-12-21, modified 2007-06-30.
Object id is 8650, canonical name is ProofOfSamplingTheorem.
Accessed 2917 times total.
Classification:
| AMS MSC: | 94A20 (Information and communication, circuits :: Communication, information :: Sampling theory) | | | 42A38 (Fourier analysis :: Fourier analysis in one variable :: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type) |
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Pending Errata and Addenda
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