Autorzy | |
Wydawnictwo | World Scientific Publishing |
Data wydania | 24/01/2017 |
Forma publikacji | eBook: Fixed Page eTextbook (PDF) |
Język | angielski |
ISBN | 9789813202139 |
Kategorie | Analizy realne i zmienne rzeczywiste, Analizy i zmienne kompleksowe, Analizy funkcjonalne i przekształcenia |
The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.)
A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras.
The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.
Non-commutative Analysis