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Weak Convergence of Measures
 
Vladimir I. Bogachev Lomonosov Moscow State University, Moscow, Russia and National Research University Higher School of Economics, Moscow, Russia
Weak Convergence of Measures
Hardcover ISBN:  978-1-4704-4738-0
Product Code:  SURV/234
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
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
Not yet published - Preorder Now!
Expected availability date: July 31, 2024
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
Hardcover ISBN:  978-1-4704-4738-0
eBook: ISBN:  978-1-4704-4943-8
Product Code:  SURV/234.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
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
Not yet published - Preorder Now!
Expected availability date: July 31, 2024
Weak Convergence of Measures
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Weak Convergence of Measures
Vladimir I. Bogachev Lomonosov Moscow State University, Moscow, Russia and National Research University Higher School of Economics, Moscow, Russia
Hardcover ISBN:  978-1-4704-4738-0
Product Code:  SURV/234
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
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
Not yet published - Preorder Now!
Expected availability date: July 31, 2024
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
Hardcover ISBN:  978-1-4704-4738-0
eBook ISBN:  978-1-4704-4943-8
Product Code:  SURV/234.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
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
Not yet published - Preorder Now!
Expected availability date: July 31, 2024
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 2342018; 286 pp
    MSC: 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.

    Readership

    Graduate students and researchers interested in probability theory and functional analysis.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2342018; 286 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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