Suppose we have a function $f(x), x\in\mathbb Z$.
Is there any way to construct an analytic function $g(x), x\in\mathbb R$, such that: $$ f(x) = g(x), x\in \mathbb Z $$
Suppose we have a function $f(x), x\in\mathbb Z$.
Is there any way to construct an analytic function $g(x), x\in\mathbb R$, such that: $$ f(x) = g(x), x\in \mathbb Z $$
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