Analysis on Lie Groups: An Introduction (Cambridge Studies - download pdf or read online

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By Jacques Faraut

the topic of study on Lie teams contains an eclectic crew of issues that are handled from many alternative views. This self-contained textual content concentrates at the standpoint of research, to the themes and strategies of non-commutative harmonic research, assuming basically effortless 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 no longer formerly seemed in booklet shape. subject matters coated comprise the Haar degree and invariant integration, round harmonics, Fourier research and the warmth equation, Poisson kernel, the Laplace equation and harmonic capabilities. ideal for complicated undergraduates and graduates in geometric research, harmonic research and illustration idea, the instruments constructed may also be worthy for experts in stochastic calculation and the statisticians. With quite a few routines and labored examples, the textual content is perfect for a graduate direction 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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