000			02158nam a2200265 4500
005			20250626114457.0
008			250626b |||||||| |||| 00| 0 eng d
020			_a9798886130492
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB43 R4 _qCSL
100			_aJorgensen, Palle Jorgensen _eauthor. _9814697
245			_aNon-Commutative Analysis
260			_aSingapore : _bWorld Scientific, _c2024.
300			_axxviii, 533p. _b: ill. _c; 23 cm.
500			_aIncludes appendix, bibliography and index
520			_aThis 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.” 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.
650			_aFunctional analysis.
650			_aOperator algebras. _9716445
650			_aNoncommutative geometry. _9814698
650			_aSpectral theory. _9461843
650			_aHilbert spaces. _9440750
700			_aTian, Feng _eco-author. _9809386
942			_2CC _n0 _cTEXL _hB43 R4
999			_c1432995 _d1432995