caa a22 4500 463245652 CHVBK 20180405153325.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00009-007-0099-9 doi (NATIONALLICENCE)springer-10.1007/s00009-007-0099-9 Discrete Systems and their Characteristic Spectral Functions [Elektronische Daten] [Daniel Alpay, Israel Gohberg] Abstract.: We define first-order discrete systems in the matrix-valued case. They are characterized by sequences of pair of matrices, called admissible sequences. We present two important examples of such sequences, called Szegö and Nehari sequences. We introduce the characteristic spectral functions associated to a first-order system. We define in particular the scattering function, the Weyl function and the reflection coefficient function and we study the relationships between these functions. Birkhäuser Verlag Basel/Switzerland, 2007 Discrete systems nationallicence scattering matrix nationallicence state space method nationallicence Alpay Daniel Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel aut Gohberg Israel School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69989, Tel-Aviv, Ramat-Aviv, Israel aut Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/1(2007-04-01), 1-32 1660-5446 4:1<1 2007 4 9 https://doi.org/10.1007/s00009-007-0099-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00009-007-0099-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alpay Daniel Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel aut NATIONALLICENCE 700 1- Gohberg Israel School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69989, Tel-Aviv, Ramat-Aviv, Israel aut NATIONALLICENCE 773 0- Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/1(2007-04-01), 1-32 1660-5446 4:1<1 2007 4 9 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer