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At the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways: as a product measure and via a ch
Gaussian Hilbert Spaces
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This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables
An Introduction to Infinite-Dimensional Analysis
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Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It sta
Reproducing Kernel Hilbert Spaces in Probability and Statistics
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The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and pro
Gaussian Measures
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This book gives a systematic exposition of the modern theory of Gaussian measures. It presents with complete and detailed proofs fundamental facts about finite