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 -