Cover of Non-Commutative Analysis by Jorgensen Palle Et Al, ISBN 9798886130492
OPERATOR THEORY

Non-Commutative Analysis

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Paperback Β· ISBN 9798886130492

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Key Specifications

ISBN 9798886130492
Publisher World Scientific
Language English
Page count 228

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.