TY - JOUR
T1 - Brune sections in nonstationary system theory
AU - Alpay, Daniel
AU - Bolotnikov, Vladimir
AU - Dewilde, Patrick
AU - Dijksma, Aad
PY - 2000/2/1
Y1 - 2000/2/1
N2 - "Brune sections" are rational functions analytic in the open unit disk D, J-inner and with a pole on the unit circle (see formula (1)). They play an important role in the theory of stationary systems. In this Note we present their analogues in the setting of nonstationary systems, where analytic functions bounded in the open unit disk are replaced by upper triangular bounded operators.
AB - "Brune sections" are rational functions analytic in the open unit disk D, J-inner and with a pole on the unit circle (see formula (1)). They play an important role in the theory of stationary systems. In this Note we present their analogues in the setting of nonstationary systems, where analytic functions bounded in the open unit disk are replaced by upper triangular bounded operators.
UR - http://www.scopus.com/inward/record.url?scp=0037509580&partnerID=8YFLogxK
U2 - 10.1016/S0764-4442(00)00121-X
DO - 10.1016/S0764-4442(00)00121-X
M3 - Article
AN - SCOPUS:0037509580
SN - 0764-4442
VL - 330
SP - 173
EP - 178
JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
IS - 3
ER -