Partial Inner Product Spaces : Theory and Applications / by Jean-Pierre Antoine, Camillo Trapani.

Format:

Book

Author/Creator:

Antoine, Jean Pierre, author.

Trapani, C. (Camillo), author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1986.

Lecture Notes in Mathematics, 0075-8434 ; 1986

Language:

English

Subjects (All):

Functional analysis.

Operator theory.

Mathematics.

Functional Analysis.

Operator Theory.

Quantum Field Theories, String Theory.

Information and Communication, Circuits.

Local Subjects:

Functional Analysis.

Operator Theory.

Quantum Field Theories, String Theory.

Information and Communication, Circuits.

Physical Description:

1 online resource (XX, 358 pages 11 illustrations).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.

System Details:

text file PDF

Summary:

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), et cetera 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.

Contents:

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.

Other Format:

Printed edition:

ISBN:

9783642051364

Access Restriction:

Restricted for use by site license.