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.
|
| 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
|
| 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 | |
| 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 |
| ISBN: | 1-4704-0360-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788847703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 762.