Partial Inner Product Spaces Theory and Applications /

• Κύριοι συγγραφείς: Antoine, Jean-Pierre (Συγγραφέας), Trapani, Camillo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1986
• Θέματα: Mathematics.; Functional analysis.; Operator theory.; Information theory.; Quantum field theory.; String theory.; Functional Analysis.; Operator Theory.; Quantum Field Theories, String Theory.; Information and Communication, Circuits.
• Φυσική περιγραφή: XX, 358 p. 11 illus. online resource.
• ISBN: 9783642051364
• ISSN: 0075-8434 ;

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.