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B n∈Z The Paley-Wiener space Bπ is a shift-invariant space generated by the sinc function, |c(n)|2 < ∞ , c(n)sinc(· − n) : Bπ = V2 (sinc) = n∈Z n∈Z where sinc(t) = sinπtπt . § Some fundamental contributions to sampling theory in shift-invariant spaces have been made by Akram Aldroubi, Karlheinz Gr¨ochenig, Michael Unser and others. Fig. 7. Akram Aldroubi (left), Karlheinz Gr¨ ochenig (middle) and Michael Unser (right). html respectively. § G. G. Walter, A sampling theorem for wavelet subspaces, IEEE Trans.

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