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.

Product details

• Authors: Palle Jorgensen, Palle Jorgensen & Feng Tian, Feng Tian
• Publisher: World Scientific
• Languages: English
• Product format: Hardback
• Released: 30.04.2017
• EAN: 9789813202115
• ISBN: 978-981-3202-11-5
• No. of pages: 562
• Dimensions: 157 mm x 235 mm x 35 mm
• Weight: 955 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous