$L^2-$interpolation with error and size of spectra

Details $L^2-$interpolation with error and size of spectra $L^2-$interpolation with error and size of spectra

2008-06-18

arxiv.org/abs/0806.2916v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

Given a compact set $S$ and a uniformly discrete sequence $\La$, we show that
"approximate interpolation" of delta--functions on $\La$ by a bounded sequence
of $L^2-$functions with spectra in $S$ implies an estimate on measure of $S$
through the density of $\La$.

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