§H2 Space: a (closed) subspace of L2(jR) with functions F(s) analytic in Re(s) > 0.
RH2 (real rational subspace of H2 ):
all strictly proper and real rational stable transfer
matrices.
§H2^ Space: the orthogonal complement of H2 in L2, i.e., the (closed) subspace of functions in L2 that
are analytic in Re(s)<0.
RH2^ ( the real rational subspace of H2^ ): all strictly proper rational antistable transfer
matrices.
§Parseval’s relations: (between time domain and
frequency domain)
