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Uniform Spaces and Measures

harmonic analysis. They offer a natural framework for results about topologies on spaces of measures and about the continuity of convolution;

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Foundations of Topology

and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Topological Topics

spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them;

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London Mathematical Society Lecture Note Series

spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them;

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Uniform Central Limit Theorems

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces;

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Abstract Duality Pairs In Analysis

theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces;

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Quasi-Uniform SPates

Since quasi-uniform spaces were defined in 1948, a diverse and widely dispersed literatureconcerning them has emerged. In Quasi-Uniform;

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Basic Methods of Linear Functional Analysis

, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function;

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Integration Theory

theory. Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures;

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Cambridge Tracts in Mathematics

readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to;

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Real Analysis and Probability

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces;

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Real Analysis and Probability

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces;

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Cambridge Studies in Advanced Mathematics

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces;

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Probability Measures on Metric Spaces

. The book concludes with numerous results related to limit theorems for probability measures on Hilbert spaces and on the spaces $C[0,1;

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Functional Analysis

. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality;

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General Topology

, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on;

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Gaussian Measures in Hilbert Space

vector spaces. Gaussian Measures contains the proof for FerniqueAs theorem and its relation to exponential moments in Banach space. Furthermore;

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Direct Integral Theory

This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators;

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Direct Integral Theory

This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators;

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Harmonic Analysis

probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems;

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Weierstrass-Stone

classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on;

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Theory Of H B Spaces

representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the;

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Theory Of H B Spaces

, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The;

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Random Probability Measures on Polish Spaces

In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way;

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Random Probability Measures on Polish Spaces

In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way;

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