L²-interpolation with error and size of spectra
classification
🧮 math.CA
keywords
interpolationsequencespectraapproximateboundedcompactdelta--functionsdensity
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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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