, 9 October 2007 (UTC)

P.s, the delta function I use in the example above as  is the Kronecker delta, not the Dirac delta. The Kronecker delta is in , whereas the Dirac delta is not in L2[0,1].

Incidentally, in response to the request for examples, L2(X) is not a RKHS for X any open subset of . On the other hand, Hardy spaces usually are RKHSs, using various variants of the Szego kernel.

For example , the Hilbert space of L2 functions on the circle is not a RKHS. On the other hand, , the space of L2 functions on the circle which are tangential limits of holomorphic functions on the disc, is.  14:18