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 staff of issues which are taken care of from many various views. This self-contained textual content concentrates at the point of view of research, to the subjects and techniques of non-commutative harmonic research, assuming basically user-friendly wisdom of linear algebra and uncomplicated differential calculus. the writer avoids unessential technical discussions and in its place describes intimately many fascinating examples, together with formulae that have now not formerly seemed in ebook shape. themes coated comprise 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 valuable for experts in stochastic calculation and the statisticians. With a variety of routines and labored examples, the textual content is perfect for a graduate path on research on Lie groups.

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