| Softcover ISBN: | 978-1-4704-7798-1 |
| Product Code: | SURV/234.S |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-4943-8 |
| Product Code: | SURV/234.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-7798-1 |
| eBook: ISBN: | 978-1-4704-4943-8 |
| Product Code: | SURV/234.S.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
| Softcover ISBN: | 978-1-4704-7798-1 |
| Product Code: | SURV/234.S |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-4943-8 |
| Product Code: | SURV/234.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-7798-1 |
| eBook ISBN: | 978-1-4704-4943-8 |
| Product Code: | SURV/234.S.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
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Book DetailsMathematical Surveys and MonographsVolume: 234; 2018; 286 ppMSC: Primary 60; 28; 46; 54
This book provides a thorough exposition of the main concepts and results related to various types of convergence of measures arising in measure theory, probability theory, functional analysis, partial differential equations, mathematical physics, and other theoretical and applied fields. Particular attention is given to weak convergence of measures. The principal material is oriented toward a broad circle of readers dealing with convergence in distribution of random variables and weak convergence of measures.
The book contains the necessary background from measure theory and functional analysis. Large complementary sections aimed at researchers present the most important recent achievements. More than 100 exercises (ranging from easy introductory exercises to rather difficult problems for experienced readers) are given with hints, solutions, or references. Historic and bibliographic comments are included.
The target readership includes mathematicians and physicists whose research is related to probability theory, mathematical statistics, functional analysis, and mathematical physics.
ReadershipGraduate students and researchers interested in probability theory and functional analysis.
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Table of Contents
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Chapters
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Weak convergence of measures on $\mathbb {R}^d$
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Convergence of measures on metric spaces
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Metrics on spaces of measures
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Convergence of measures on topological spaces
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Spaces of measures with the weak topology
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Comments
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This book provides a thorough exposition of the main concepts and results related to various types of convergence of measures arising in measure theory, probability theory, functional analysis, partial differential equations, mathematical physics, and other theoretical and applied fields. Particular attention is given to weak convergence of measures. The principal material is oriented toward a broad circle of readers dealing with convergence in distribution of random variables and weak convergence of measures.
The book contains the necessary background from measure theory and functional analysis. Large complementary sections aimed at researchers present the most important recent achievements. More than 100 exercises (ranging from easy introductory exercises to rather difficult problems for experienced readers) are given with hints, solutions, or references. Historic and bibliographic comments are included.
The target readership includes mathematicians and physicists whose research is related to probability theory, mathematical statistics, functional analysis, and mathematical physics.
Graduate students and researchers interested in probability theory and functional analysis.
-
Chapters
-
Weak convergence of measures on $\mathbb {R}^d$
-
Convergence of measures on metric spaces
-
Metrics on spaces of measures
-
Convergence of measures on topological spaces
-
Spaces of measures with the weak topology
-
Comments
