LEADER 03598nam 2200625 450 001 9910788847703321 005 20170822144314.0 010 $a1-4704-0360-9 035 $a(CKB)3360000000464946 035 $a(EBL)3114479 035 $a(SSID)ssj0000910346 035 $a(PQKBManifestationID)11483448 035 $a(PQKBTitleCode)TC0000910346 035 $a(PQKBWorkID)10932359 035 $a(PQKB)10223012 035 $a(MiAaPQ)EBC3114479 035 $a(RPAM)12816741 035 $a(PPN)195416481 035 $a(EXLCZ)993360000000464946 100 $a20020613h20022002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAbstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation /$fLeiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002] 210 4$dİ2002 215 $a1 online resource (87 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 762 300 $aDescription based upon print version of record. 311 $a0-8218-2996-3 320 $aIncludes bibliographical references (pages 67-70) and index. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle"" 327 $a""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem"" 327 $a""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 762. 606 $aLifting theory 606 $aFactorization (Mathematics) 606 $aToeplitz operators 615 0$aLifting theory. 615 0$aFactorization (Mathematics) 615 0$aToeplitz operators. 676 $a510 s 676 $a515/.724 700 $aRodman$b L.$054260 702 $aSpitkovskii?$b Ilya M.$f1953- 702 $aWoerdeman$b Hugo J$g(Hugo Jan),$f1962- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788847703321 996 $aAbstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation$93837805 997 $aUNINA