- #1
Castilla
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There is a theorem (the "Borel lemma") that says: Let (A_n) by any sequence of real numbers. We can built a function "F", indefinitely differentiable, such that if G is the n-derivative of f, G(0) = a_n.
Does someone knows a proof or where can I find it? The theorem appears in wikipedia, under the name "Borel Lemma", but all the wiki information is that this theorem is sometimes useful in PDE...
Does someone knows a proof or where can I find it? The theorem appears in wikipedia, under the name "Borel Lemma", but all the wiki information is that this theorem is sometimes useful in PDE...