ENGLISH

Partial Inner Product Spaces: Theory and Applications

By Jean-Pierre Antoine , Camillo Trapani (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
9783642051357, 9783642051364
DOI
10.1007/978-3-642-05136-4
Language
english
Format
PDF
Filesize
4 MB (4152653 bytes)
Series
Lecture Notes in Mathematics 1986
Edition
1
Pages
358\371
Time added
2010-05-31 15:29:46
CircuitsFunctional Analysis;Operator Theory;Quantum FieldString Theory;Information and Communication

Description

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.

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