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

By Jacques Faraut

the topic of study on Lie teams includes an eclectic workforce of subject matters which might be handled from many alternative views. This self-contained textual content concentrates at the viewpoint of research, to the themes and strategies of non-commutative harmonic research, assuming in simple terms undemanding wisdom of linear algebra and uncomplicated 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. themes lined contain the Haar degree and invariant integration, round harmonics, Fourier research and the warmth equation, Poisson kernel, the Laplace equation and harmonic features. ideal for complicated undergraduates and graduates in geometric research, harmonic research and illustration conception, the instruments constructed can be worthy for experts in stochastic calculation and the statisticians. With a variety of workouts and labored examples, the textual content is perfect for a graduate direction on research on Lie groups.

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