Every square integrable function has integral representation?

From: "mathlover" <2000korea@xxxxxxxxxxx>
Date: 27 Apr 2005 19:17:58 -0700

Hello,
My space is L2 on compact interval [a,b].
Is it possible to write down any function in L2, say g(x),with
intergral form? Like g(x) = integral a to x f dm.
Thank you.

.

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