Download Analysis on Lie Groups: An Introduction (Cambridge Studies by Jacques Faraut PDF

By Jacques Faraut

the topic of research on Lie teams includes an eclectic workforce of themes which are taken care of from many alternative views. This self-contained textual content concentrates at the standpoint of research, to the subjects and techniques of non-commutative harmonic research, assuming in basic terms hassle-free wisdom of linear algebra and easy differential calculus. the writer avoids unessential technical discussions and as a substitute describes intimately many fascinating examples, together with formulae that have now not formerly seemed in booklet shape. issues coated contain the Haar degree and invariant integration, round harmonics, Fourier research and the warmth equation, Poisson kernel, the Laplace equation and harmonic services. excellent for complicated undergraduates and graduates in geometric research, harmonic research and illustration thought, the instruments constructed can be priceless for experts in stochastic calculation and the statisticians. With quite a few routines and labored examples, the textual content is perfect for a graduate path on research on Lie groups.

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Analysis on Lie Groups: An Introduction (Cambridge Studies in Advanced Mathematics) by Jacques Faraut


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