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Interpolation of Infinitely Many Points

  1. Mar 12, 2013 #1
    This sort of came up the other day:

    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!
     
  2. jcsd
  3. Mar 13, 2013 #2

    micromass

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