Reproducing kernel Hilbert space: Difference between revisions

Revision as of 05:11, 8 March 2005

Revision as of 15:08, 25 June 2005

Line 7:

:<math> f \mapsto f(x) </math>

is [[norm-continuous]] for any element ''x'' of ''X''. By the [[Riesz representation theorem]], this implies that there exists an element ''K''_''x'' of ''H'' such that for every function ''f'' in the space,

:<math> f(x) = \langle K_x, f \rangle. </math>