Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Inner product spaces --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Inner product spaces. --- Mathematics. --- Math --- Hermitian inner product spaces --- Scalar product spaces --- Spaces, Inner product --- Spaces, Scalar product --- Functional analysis. --- Operator theory. --- Information theory. --- Quantum field theory. --- String theory. --- Functional Analysis. --- Operator Theory. --- Quantum Field Theories, String Theory. --- Information and Communication, Circuits. --- Science --- Models, String --- String theory --- Nuclear reactions --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Communication theory --- Communication --- Cybernetics --- Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Bilinear forms --- Vector spaces --- Hilbert space