Scattering Theory
نویسنده
چکیده
A prototype of the above situation is when H is L2( — °°, °° î N), i.e., the space of square integrable functions on the whole real axis whose values lie in some accessory Hubert space Nt U(t) is translation by t, and D+ is L%(0f oo ; N). THEOREM l. If D+ is outgoing for the group U(t), then H can be represented isometrically as L%(-~ oo, oo ; N) so that U(t) is translation and D+ is the space of functions with support on the positive reals. This representation is unique up to isomorphisms of N.
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