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Image of - Integral Representation Theory | Hardcover
Integral Representation Theory | Hardcover

Integral Representation Theory | Hardcover

by Lukes

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquets theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications

Highlights

  • binding-icon

    9783110203202

    ISBN:

  • binding-icon

    Lukes

    Author:

  • binding-icon

    731

    Pages:

  • binding-icon

    1050 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2010

    Year:

  • edition-icon

    1st Edition

    Edition:

  • binding-icon

    Hardcover

    Binding:

₹8888

₹11110

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquets theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications

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