000			02079nam a22002297a 4500
003			OSt
005			20240419145742.0
008			240419b |||||||| |||| 00| 0 hin d
020			_a9798886130492
040			_aNISER LIBRARY _bEnglish _cNISER LIBRARY
082			_a512.5 _bJOR-N
100			_aJorgensen, Palle
245			_aNon-commutative analysis
260			_aSingapore: _bWorld Scientific Publishing, _c2024.
300			_axxviii, 533p.
520			_a'This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent research. For such a reader there is also historical information included and many comments aiming at an overview. It is inspiring and original how old material is combined and mixed with new material. There is always something unexpected included in each chapter, which one is thankful to see explained in this context and not only in research papers which are more difficult to access.'Mathematical Reviews Clippings 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.
650			_aHILBERT SPACE
650			_aMATHEMATICAL PHYSICS
650			_aSTOCHASTIC PROCESSES
700			_aTian, Feng
942			_2udc _cN
999			_c34875 _d34875