Following Beurling's ideas concerning sampling and interpolation in the Paley-Wiener space Lτ ∞, we find necessary and sufficient density conditions for sets of sampling and interpolation in the Paley-Wiener spaces Lτ p for 0 < p ≤ 1.
@article{urn:eudml:doc:41335,
title = {Sampling and interpolation in the Paley-Wiener spaces L$\pi$
p, 0 \< p $\leq$ 1.},
journal = {Publicacions Matem\`atiques},
volume = {42},
year = {1998},
pages = {103-118},
mrnumber = {MR1628150},
zbl = {0937.42016},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41335}
}
Flornes, Kristin M. Sampling and interpolation in the Paley-Wiener spaces Lπ
p, 0 < p ≤ 1.. Publicacions Matemàtiques, Tome 42 (1998) pp. 103-118. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41335/