Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by N.P. Landsman
Publisher: arXiv 1998
Number of pages: 90
Description:
This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Distribution Theory (Generalized Functions)by Ivan F Wilde
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
(11475 views)
Functional Analysisby Feng Tian, Palle E.T. Jorgensen - arXiv
Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
(12761 views)
Functional Analysis with Applicationsby Palle Jorgensen, Feng Tian - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
(11398 views)
Hilbert Spaces and Operators on Hilbert Spacesby Leif Mejlbro - BookBoon
Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.
(12803 views)