Ebook: Techniques of Multivariate Calculation

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Content:
Front Matter....Pages -
Introduction and brief survey....Pages 1-12
Transforms....Pages 13-31
Locally compact groups and Haar measure....Pages 32-55
Wishart’s paper....Pages 56-63
The noncentral Wishart density function....Pages 64-72
Manifolds and exterior differential forms....Pages 73-99
Invariant measures on manifolds....Pages 100-115
Decompositions of matrices....Pages 116-137
Examples using differential forms....Pages 138-157
Cross sections and maximal invariants....Pages 158-184
Random variable techniques....Pages 185-230
The construction of zonal polynomials....Pages 231-304
Problems for users of zonal polynomials....Pages 305-327
Back Matter....Pages -

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Content:
Front Matter....Pages -
Introduction and brief survey....Pages 1-12
Transforms....Pages 13-31
Locally compact groups and Haar measure....Pages 32-55
Wishart’s paper....Pages 56-63
The noncentral Wishart density function....Pages 64-72
Manifolds and exterior differential forms....Pages 73-99
Invariant measures on manifolds....Pages 100-115
Decompositions of matrices....Pages 116-137
Examples using differential forms....Pages 138-157
Cross sections and maximal invariants....Pages 158-184
Random variable techniques....Pages 185-230
The construction of zonal polynomials....Pages 231-304
Problems for users of zonal polynomials....Pages 305-327
Back Matter....Pages -
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