02928nam 2200613 450 991048101610332120211005144628.01-4704-0438-9(CKB)3360000000465021(EBL)3114059(SSID)ssj0000973289(PQKBManifestationID)11527845(PQKBTitleCode)TC0000973289(PQKBWorkID)10959566(PQKB)10093004(MiAaPQ)EBC3114059(PPN)195417259(EXLCZ)99336000000046502120050715d2005 uy| 0engur|n|---|||||txtccrLax-Phillips scattering and conservative linear systems a Cuntz-algebra multidimensional setting /Joseph A. Ball, Victor VinnikovProvidence, Rhode Island :American Mathematical Society,2005.1 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 837"November 2005, volume 178, number 837 (first of 5 numbers)."0-8218-3768-0 Includes bibliographical references (pages 99-101).""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""""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""Memoirs of the American Mathematical Society ;no. 837.Scattering (Mathematics)Linear systemsOperator algebrasHilbert spaceElectronic books.Scattering (Mathematics)Linear systems.Operator algebras.Hilbert space.510 s515/.724Ball Joseph A.1947-54258Vinnikov V(Victor),MiAaPQMiAaPQMiAaPQBOOK9910481016103321Lax-Phillips scattering and conservative linear systems2472603UNINA