By Jacques Faraut
This self-contained textual content concentrates at the point of view of study, assuming merely straight forward wisdom of linear algebra and easy differential calculus. the writer describes, intimately, many attention-grabbing examples, together with formulation that have no longer formerly seemed in booklet shape. issues lined contain 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 worthwhile for experts in stochastic calculation and the statisticians. With various workouts and labored examples, the textual content is perfect for a graduate direction on research on Lie teams.