Revistes Catalanes amb Accés Obert (RACO)

Sampling and interpolation in the Paley-Wiener spaces $L^p_{\pi}$, $0 < p \le 1$

K. M. Flornes

Resum


Following Beurling's ideas concerning sampling and interpolation in the Paley-Wiener space $L^{\infty}_{\tau}$, we find necessary and sufficient density conditions for sets of sampling and interpolation in the Paley-Wiener spaces $L^{p}_{\tau}$ for $0 < p\leq 1$.

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