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Non-commutative analysis
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Dewey Class
515.7 (DDC 23)
Title
Non-commutative analysis (M) / Palle Jorgensen, Feng Tian
Author
Jørgensen, Palle E. T., , 1947-
Added Personal Name
Tian, Feng
Publication
Singapore : World Scientific , 2017
Physical Details
xxviii, 533 pages ; 23 cm
ISBN
9789813202122
Summary Note
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.:
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Subject References:
Functional Analysis
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Hilbert space
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Mathematical Physics
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Stochastic Processes
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Authors:
Jørgensen, Palle E. T., 1947-
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Tian, Feng
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Classification:
515.7 (DDC 23)
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0000000043772
519.216 JOR
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