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# ðŸ“™ Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory by Jaroslav Lukes â€” free download

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This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on ChoquetÂ´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

## About book:

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- Series:
**De Gruyter Studies in Mathematics** - Author:
**Jaroslav Lukes** - Year:
**2010** - Publisher:
**De Gruyter** - Language:
**English** - ISBN:
**3110203200,978-3-11-020320-2**

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**3 530 619** - Format:
**pdf**

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This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on ChoquetÃ‚Â´s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay ...

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 ...

MPEG-7 is the first international standard which contains a number of key techniques from Computer Vision and Image Processing. The Curvature Scale Space technique was selected as a contour shape descriptor for MPEG-7 after substantial and comprehensive t...

A breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stoc...

In this Tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in...

In this Tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in...

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the s...

The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the...

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topol...

There are good reasons why the subject of electric power engineering, after many years of neglect, is making a comeback in the undergraduate curriculum of many electrical engineering departments. The most obvious is the current public awareness of the "en...

Recently there has been growing interest in the physical properties of rocks. To interpret data on the geophysical fields observed near the Earth's surface, we must know the physical properties of the materials composing the interior. Moreover, the develo...

Electrical Systems and Equipment is the work of some 50 electrical design specialists in the power engineering field based largely on the work and experience of GDCD's (Generation Development and Constructor Division of the CEGB) Electrical Branch. The vo...

This companion volume to Electrical Engineering License Review presents the main book's end-of-chapter problems with detailed step-by-step solutions. A sample exam, also with step-by-step solutions, is included. 100% problems and solutions....

Provides relevant material for engineering students and practicing engineers who want to learn the basics of electrical power transmission, generation, and usageThis Second Edition of Electrical Energy Conversion and Transport is thoroughly updated to add...

This book describes a robust, low-cost electrochemical sensing system that is able to detect hormones and phthalates â€“ the most ubiquitous endocrine disruptor compounds â€“ in beverages and is sufficiently flexible to be readily coupled with any existing ch...