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

By Jacques Faraut

ISBN-10: 0521719305

ISBN-13: 9780521719308

the topic of study on Lie teams contains an eclectic crew of themes which are handled from many various views. This self-contained textual content concentrates at the point of view of research, to the subjects and strategies of non-commutative harmonic research, assuming merely undemanding wisdom of linear algebra and easy differential calculus. the writer avoids unessential technical discussions and as a substitute describes intimately many attention-grabbing examples, together with formulae that have now not formerly seemed in e-book shape. issues lined 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 complex undergraduates and graduates in geometric research, harmonic research and illustration thought, the instruments constructed can also be worthy for experts in stochastic calculation and the statisticians. With a number of 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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