Before revision: In general, elements of L2 on the unit circle are given by whereas elements of H2 are given by The projection from L2 to H2 (by setting when ) is orthogonal.
After revision: On the Unit CircleIn general, elements of L2 on the unit circle are given by whereas elements of H2 are given by The projection from L2 to H2 (by setting when ) is orthogonal.