TY - BOOK

T1 - Partial inner product spaces: Theory and Applications

AU - Trapani, Camillo

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Inner product

KW - Inner product spaces

KW - Inner product

KW - Inner product spaces

UR - http://hdl.handle.net/10447/40141

M3 - Book

SN - 978-3-642-05135-7

T3 - LECTURE NOTES IN MATHEMATICS

BT - Partial inner product spaces: Theory and Applications

PB - Springer

ER -