This sort of came up the other day:(adsbygoogle = window.adsbygoogle || []).push({});

Given a sequence of monotonically decreasing points, [itex]a_n[/itex], such that [itex] a_n \rightarrow 0 [/itex] does there exist an analytic [itex]f[/itex] on ℝ such that

[itex]

f(n) = a_n

[/itex]

?

I figured there should be some sort interpolation theory on this, but I haven't found anything yet.

Thanks!

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# Interpolation of Infinitely Many Points

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