Real analysis and probability

書誌事項

Real analysis and probability

Richard M. Dudley

(Chapman and Hall mathematics series)

Chapman & Hall, 1989

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Includes indexes

内容説明・目次

目次

Foundations: set theory General topology Measures Integration Lp spaces: Introduction to functional analysis Convex sets and duality of normed spaces Measure, topology and differentiation Introduction to probability theory Convergence of laws and central limit theorems Conditional expectation and martingales Convergence of laws on separable metric spaces Stochastic processes Measurability: Borel isomorphism and analytic sets Appendices

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