Non-commutative Analysis

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.

Dettagli sul prodotto

• Autori: Palle Jorgensen, Jorgensen Palle, Palle Jorgensen & Feng Tian, Feng Tian, Tian Feng
• Editore: Ingram Publishers Services
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.04.2017
• EAN: 9789813202115
• ISBN: 978-981-3202-11-5
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; MATHEMATICS / Applied, MATHEMATICS / Functional Analysis, Applied mathematics, Functional analysis & transforms, Functional analysis and transforms