{"product_id":"integral-representation-theory-applications-to-convexity-banach-spaces-and-potential-theory-9783110203202","title":"Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\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.   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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Incorporating many original results of the authors, the book is addressed both to students who can find a clear and thorough presentation of the basics of the integral theory, as well as for the advanced readers who find a substantial amount of recent results, appearing for the first time in book form.\"S. Cobzas in: Studia Universitatis Babes-Bolyai LV\/2010","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":53516400820567,"sku":"9783110203202","price":155.32,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/integral-representation-theory-applications-to-convexity-banach-spaces-and-potential-theory-9783110203202","provider":"Book Curl","version":"1.0","type":"link"}