TY - BOOK AU - Applebaum,David TI - Probability on compact Lie groups T2 - Probability theory and stochastic modelling SN - 9783319078410 U1 - 512.482 23 PY - 2014/// CY - New York : PB - Springer, KW - Lie groups. KW - Fourier analysis. KW - Functional analysis. N1 - Includes index; 1.Lie Groups -- 2.Representations, Peter-Weyl Theory and Weights -- 3.Analysis on Compact Lie Groups -- 4.Probability Measures on Compact Lie Groups -- 5.Convolution Semigroups of Measures -- 6.Deconvolution Density Estimation -- Appendices -- Index -- N2 - The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects ER -