Non-Commutative Analysis

Jorgensen, Palle; Tian, Feng

ISBN 10: 9813202114 / ISBN 13: 9789813202115

Edité par World Scientific Pub Co Inc, 2017

A propos de cet article

pp. 564.

N° de réf. du vendeur 26403671425

Détails bibliographiques

• Titre: Non-Commutative Analysis
• Éditeur: World Scientific Pub Co Inc
• Date de parution: 2017
• Langue: anglais
• ISBN à 10 chiffres: 9813202114
• ISBN à 13 chiffres: 9789813202115
• Reliure: Couverture rigide
• État de l'article: New

A propos de ce titre

Synopsis

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.