Partial Inner Product Spaces: Theory and Applications 2010 Edition Contributor(s): Antoine, J-P (Author), Trapani, Camillo (Author) |
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ISBN: 3642051359 ISBN-13: 9783642051357 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: February 2010 |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis - Computers | Information Technology - Science | Physics - Quantum Theory |
Dewey: 515.73 |
Series: Lecture Notes in Mathematics |
Physical Information: 0.78" H x 6.14" W x 9.21" (1.17 lbs) 358 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |