Download E-books Analysis on Lie Groups: An Introduction (Cambridge Studies in Advanced Mathematics) PDF

By Jacques Faraut

The topic of study on Lie teams includes an eclectic team of subject matters which are handled from many various views. This self-contained textual content concentrates at the viewpoint of study, to the themes and techniques of non-commutative harmonic research, assuming merely trouble-free wisdom of linear algebra and easy differential calculus. the writer avoids unessential technical discussions and as a substitute describes intimately many attention-grabbing examples, together with formulae that have no longer formerly seemed in booklet shape. issues coated comprise the Haar degree and invariant integration, round harmonics, Fourier research and the warmth equation, Poisson kernel, the Laplace equation and harmonic services. excellent for complex undergraduates and graduates in geometric research, harmonic research and illustration conception, the instruments constructed can be worthwhile for experts in stochastic calculation and the statisticians. With a variety of routines and labored examples, the textual content is perfect for a graduate direction on research on Lie teams.

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