Non-Commutative Analysis
Palle Jorgensen, Feng Tian
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.
వర్గాలు:
సంవత్సరం:
2017
ప్రచురణకర్త:
World Scientific
భాష:
english
పేజీల సంఖ్య:
564
ISBN 10:
9813202114
ISBN 13:
9789813202115
ఫైల్:
PDF, 7.67 MB
IPFS:
,
english, 2017