Techniques of Multivariate Calculation
R. H. Farrell
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Techniques of Multivariate Calculation

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and brief survey.- Transforms.- Locally compact groups and Haar measure.- Wishart¿s paper.- The noncentral Wishart density function.- Manifolds and exterior differential forms.- Invariant measures on manifolds.- Decompositions of matrices.- Examples using differential forms.- Cross sections and maximal invariants.- Random variable techniques.- The construction of zonal polynomials.- Problems for users of zonal polynomials.