{"product_id":"9783110203202","title":"Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eFrom the contents:\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003eGeometry of convex sets \u003c\/li\u003e \u003cli\u003eChoquet theory of function spaces \u003c\/li\u003e \u003cli\u003eAffine functions on compact convex sets \u003c\/li\u003e \u003cli\u003ePerfect classes of functions and representation of affine functions \u003c\/li\u003e \u003cli\u003eSimplicial function spaces \u003c\/li\u003e \u003cli\u003eChoquet's theory of function cones \u003c\/li\u003e \u003cli\u003eTopologies on boundaries \u003c\/li\u003e \u003cli\u003eSeveral results on function spaces and compact convex sets \u003c\/li\u003e \u003cli\u003eContinuous and measurable selectors \u003c\/li\u003e \u003cli\u003eConstruction of function spaces\u003c\/li\u003e \u003cli\u003eFunction spaces in potential theory and Dirichlet problem \u003c\/li\u003e \u003cli\u003eApplications\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":47048339587312,"sku":"9783110203202","price":210.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783110203202_p0.jpg?v=1763715101","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783110203202","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}