Partial Inner Product Spaces : Theory and Applications / / by J-P Antoine, Camillo Trapani
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| Autore: |
Antoine Jean Pierre
|
| Titolo: |
Partial Inner Product Spaces : Theory and Applications / / by J-P Antoine, Camillo Trapani
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
| Edizione: | 1st ed. 2009. |
| Descrizione fisica: | 1 online resource (XX, 358 p. 11 illus.) |
| Disciplina: | 515.7 |
| Soggetto topico: | Functional analysis |
| Operator theory | |
| Particles (Nuclear physics) | |
| Quantum field theory | |
| Computer science - Mathematics | |
| Functional Analysis | |
| Operator Theory | |
| Elementary Particles, Quantum Field Theory | |
| Mathematical Applications in Computer Science | |
| Altri autori: |
TrapaniC (Camillo)
|
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (p. 337-348) and index. |
| Nota di contenuto: | General Theory: Algebraic Point of View -- General Theory: Topological Aspects -- Operators on PIP-Spaces and Indexed PIP-Spaces -- Examples of Indexed PIP-Spaces -- Refinements of PIP-Spaces -- Partial #x002A;-Algebras of Operators in a PIP-Space -- Applications in Mathematical Physics -- PIP-Spaces and Signal Processing. |
| Sommario/riassunto: | Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systematic analysis of PIP spaces and operators defined on them. Numerous examples are described in detail and a large bibliography is provided. Finally, the last chapters cover the many applications of PIP spaces in physics and in signal/image processing, respectively. As such, the book will be useful both for researchers in mathematics and practitioners of these disciplines. |
| Titolo autorizzato: | Partial inner product spaces |
| ISBN: | 9783642051364 |
| 3642051367 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910483384703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 1617-9692 ; ; 1986