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The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula

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Publication:1882374
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DOI10.1007/S00041-004-8010-6zbMath1059.94006OpenAlexW2014768409MaRDI QIDQ1882374

M. G. Beaty, Maurice M. Dodson

Publication date: 1 October 2004

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-004-8010-6


zbMATH Keywords

Plancherel formulasampling theoremnull intersection condition


Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Communication theory (94A05) Harmonic analysis in one variable (42A99)


Related Items (6)

Random sampling over locally compact abelian groups and inversion of the Radon transform ⋮ Density in L2(Γ,μ) of Certain Families of Functions on LCA Groups Related to the Multi-Channel Sampling Problem ⋮ Approximating signals in the abstract ⋮ Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections ⋮ Behavior of Shannon's sampling series for Hardy spaces ⋮ On the approximate form of Kluvánek's theorem







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