LEADER 02925nam 2200613 450 001 9910788750403321 005 20211005144628.0 010 $a1-4704-0438-9 035 $a(CKB)3360000000465021 035 $a(EBL)3114059 035 $a(SSID)ssj0000973289 035 $a(PQKBManifestationID)11527845 035 $a(PQKBTitleCode)TC0000973289 035 $a(PQKBWorkID)10959566 035 $a(PQKB)10093004 035 $a(MiAaPQ)EBC3114059 035 $a(RPAM)14038344 035 $a(PPN)195417259 035 $a(EXLCZ)993360000000465021 100 $a20050715d2005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLax-Phillips scattering and conservative linear systems $ea Cuntz-algebra multidimensional setting /$fJoseph A. Ball, Victor Vinnikov 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2005. 215 $a1 online resource (114 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 837 300 $a"November 2005, volume 178, number 837 (first of 5 numbers)." 311 $a0-8218-3768-0 320 $aIncludes bibliographical references (pages 99-101). 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Functional Models for Row-Isometric/Row-Unitary Operator Tuples""; ""2.1. The classical case""; ""2.2. Functional models of noncommutative formal power series""; ""2.3. Hardy subspaces""; ""2.4. Intertwining operators""; ""Chapter 3. Cuntz Scattering Systems""; ""3.1. Basic geometric structure of Cuntz scattering systems""; ""3.2. The scattering function and models for Cuntz scattering systems""; ""3.3. The colligation associated with a Cuntz scattering system""; ""Chapter 4. Unitary Colligations""; ""4.1. Preliminaries"" 327 $a""4.2. The Cuntz scattering system associated with a unitary colligation U and Cuntz weight W*""""Chapter 5. Scattering, Systems and Dilation Theory: the Cuntz-Toeplitz Setting""; ""5.1. Outgoing Cuntz scattering systems""; ""5.2. Cuntz unitary colligations and outgoing Cuntz scattering systems""; ""5.3. Model theory for row contractions""; ""5.4. Realization theory""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 837. 606 $aScattering (Mathematics) 606 $aLinear systems 606 $aOperator algebras 606 $aHilbert space 615 0$aScattering (Mathematics) 615 0$aLinear systems. 615 0$aOperator algebras. 615 0$aHilbert space. 676 $a510 s 676 $a515/.724 700 $aBall$b Joseph A.$f1947-$054258 702 $aVinnikov$b V$g(Victor), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788750403321 996 $aLax-Phillips scattering and conservative linear systems$93759929 997 $aUNINA