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Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman



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Autore: Rodman L. Visualizza persona
Titolo: Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2002]
©2002
Descrizione fisica: 1 online resource (87 p.)
Disciplina: 510 s
515/.724
Soggetto topico: Lifting theory
Factorization (Mathematics)
Toeplitz operators
Soggetto genere / forma: Electronic books.
Persona (resp. second.): SpitkovskiĭIlya M. <1953->
WoerdemanHugo J <1962-> (Hugo Jan)
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (pages 67-70) and index.
Nota di contenuto: ""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""
Titolo autorizzato: Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation  Visualizza cluster
ISBN: 1-4704-0360-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910478892803321
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Serie: Memoirs of the American Mathematical Society ; ; no. 762.