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

By Jacques Faraut

the topic of study on Lie teams includes an eclectic team of themes that are handled from many various views. This self-contained textual content concentrates at the viewpoint of research, to the subjects and strategies of non-commutative harmonic research, assuming purely undemanding wisdom of linear algebra and easy differential calculus. the writer avoids unessential technical discussions and in its place describes intimately many fascinating examples, together with formulae that have no longer formerly seemed in publication shape. themes coated contain the Haar degree and invariant integration, round harmonics, Fourier research and the warmth equation, Poisson kernel, the Laplace equation and harmonic capabilities. excellent for complicated undergraduates and graduates in geometric research, harmonic research and illustration concept, the instruments built can also be priceless for experts in stochastic calculation and the statisticians. With quite a few workouts and labored examples, the textual content is perfect for a graduate path on research on Lie groups.

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