Jacques Faraut's Analysis on Lie Groups: An Introduction (Cambridge Studies PDF

By Jacques Faraut

the topic of study on Lie teams contains an eclectic crew of issues that are taken care of 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 simply ordinary wisdom of linear algebra and simple 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 e-book shape. subject matters 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 complex undergraduates and graduates in geometric research, harmonic research and illustration conception, the instruments constructed can also be invaluable 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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