03598nam 2200625 450 991078884770332120170822144314.01-4704-0360-9(CKB)3360000000464946(EBL)3114479(SSID)ssj0000910346(PQKBManifestationID)11483448(PQKBTitleCode)TC0000910346(PQKBWorkID)10932359(PQKB)10223012(MiAaPQ)EBC3114479(RPAM)12816741(PPN)195416481(EXLCZ)99336000000046494620020613h20022002 uy| 0engur|n|---|||||txtccrAbstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation /Leiba Rodman, Ilya M. Spitkovsky, Hugo J. WoerdemanProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (87 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 762Description based upon print version of record.0-8218-2996-3 Includes bibliographical references (pages 67-70) and index.""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""""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""""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""Memoirs of the American Mathematical Society ;no. 762.Lifting theoryFactorization (Mathematics)Toeplitz operatorsLifting theory.Factorization (Mathematics)Toeplitz operators.510 s515/.724Rodman L.54260Spitkovskiĭ Ilya M.1953-Woerdeman Hugo J(Hugo Jan),1962-MiAaPQMiAaPQMiAaPQBOOK9910788847703321Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation3837805UNINA