Abstract
We investigate links between minimality, Carleson condition, and (weighted) interpolation in Paley–Wiener spaces. In particular, we show that the Carleson condition on a sequence Λ together with minimality in Paley–Wiener spaces \({PW_{\tau}^{p}}\) implies the interpolation property of Λ in \({PW_{\tau+\epsilon}^{p}}\) , for every \({\epsilon > 0}\) . This result does not, surprisingly, require uniform minimality.
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Gaunard, F. Minimality and (weighted) interpolation in Paley–Wiener spaces. Arch. Math. 102, 379–389 (2014). https://doi.org/10.1007/s00013-014-0638-0
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DOI: https://doi.org/10.1007/s00013-014-0638-0