{"product_id":"9783034807555","title":"Measure and Integration: Publications 1997-2011","description":"\u003ch1\u003eMeasure and Integration: Publications 1997-2011\u003c\/h1\u003e \u003ch2\u003eKönig, Heinz\u003c\/h2\u003e \u003cp\u003eThis collection of Heinz König’s publications connects to his book of 1997 “Measure and Integration” and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner • (bullet) and outer • (bullet) premeasures and their extension to unique maximal measures. New “envelopes” for the initial set function (to replace the traditional Carathéodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits.\u003c\/p\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003eFurther to the contributions in this volume, after 2011 Heinz König published two more articles that round up his work: \u003ci\u003eOn the marginals of probability contents on lattices\u003c\/i\u003e (Mathematika 58, No. 2, 319-323, 2012), and \u003ci\u003eMeasure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes\u003c\/i\u003e (Indag. Math., New Ser. 25, No. 2, 305-314, 2014).\u003c\/p\u003e\n\u003cbr\u003e\n\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-07-20\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783034807555\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-0382-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 508\u003c\/p\u003e ","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":46547610927244,"sku":"9783034807555","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034807555.jpg?v=1775832670","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783034807555","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}