Integral Representation Theory

Integral Representation Theory
Author :
Publisher : Walter de Gruyter
Total Pages : 732
Release :
ISBN-10 : 9783110203202
ISBN-13 : 3110203200
Rating : 4/5 (200 Downloads)

Book Synopsis Integral Representation Theory by : Jaroslav Lukeš

Download or read book Integral Representation Theory written by Jaroslav Lukeš and published by Walter de Gruyter. This book was released on 2010 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's 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


Integral Representation Theory Related Books

Integral Representation Theory
Language: en
Pages: 732
Authors: Jaroslav Lukeš
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of functio
Integral Representations
Language: en
Pages: 284
Authors: I. Reiner
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

DOWNLOAD EBOOK

Quaternion Algebras
Language: en
Pages: 877
Authors: John Voight
Categories: Mathematics
Type: BOOK - Published: 2021-06-28 - Publisher: Springer Nature

DOWNLOAD EBOOK

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse
A Course in Finite Group Representation Theory
Language: en
Pages: 339
Authors: Peter Webb
Categories: Mathematics
Type: BOOK - Published: 2016-08-19 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and com
Representation Theory and Noncommutative Harmonic Analysis II
Language: en
Pages: 274
Authors: A.A. Kirillov
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of mo