Book
Non-commutative analysis
World Scientific Publishing Co. Pte. Ltd
2017
DOI: 10.1142/10317#t=toc
Abstract
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.
Details
- Title: Subtitle
- Non-commutative analysis
- Creators
- Palle Jorgensen - University of Iowa, MathematicsFeng Tian
- Resource Type
- Book
- DOI
- 10.1142/10317#t=toc
- ISBN
- 9813202114; 9789813202115; 9813202122; 9789813202122
- eISBN
- 9789813202139; 9813202130
- Publisher
- World Scientific Publishing Co. Pte. Ltd; Hackensack, NJ; Singapore
- Number of pages
- xxviii, 533 pages
- Language
- English
- Date published
- 2017
- Academic Unit
- Mathematics
- Record Identifier
- 9983995482302771
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