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Antoine / Trapani

Partial Inner Product Spaces

Theory and Applications

Medium: Buch
ISBN: 978-3-642-05135-7
Verlag: Springer
Erscheinungstermin: 04.02.2010
Lieferfrist: bis zu 10 Tage

Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces L 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.


Produkteigenschaften


  • Artikelnummer: 9783642051357
  • Medium: Buch
  • ISBN: 978-3-642-05135-7
  • Verlag: Springer
  • Erscheinungstermin: 04.02.2010
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2010
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 1170 g
  • Seiten: 358
  • Format (B x H): 155 x 235 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.