{"product_id":"9783032416322","title":"T-Systems and Positivity The Impact on Real Algebraic Geometry and the Moment Problem","description":"\u003ch1\u003eT-Systems and Positivity\u003c\/h1\u003e\u003ch2\u003eThe Impact on Real Algebraic Geometry and the Moment Problem\u003c\/h2\u003e\u003ch3\u003ePhilipp di Dio\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis book explores Tchebycheff systems (T-systems) and their profound influence on real algebraic geometry and its dual counterpart, the moment problem. Non-negative polynomials play a fundamental role in real algebraic geometry, with important applications in optimization, mathematical programming, and algorithm design. Although the moment problem and positivity theory have been studied extensively, a key part of the literature has remained largely incomplete, namely, Samuel Karlin's Positivstellensätze and Nichtnegativstellensätze. The current book closes this missing gap by  providing a systematic and self-contained treatment of Karlin's Positivstellensätze and Nichtnegativstellensätze as well as demonstrating the significance of these results for both real algebraic geometry and moment theory. The book focuses on three main topics:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eT-systems;\u003c\/li\u003e\n\u003cli\u003etheir impact on real algebraic geometry, particularly in the study of non-negative polynomials; and\u003c\/li\u003e\n\u003cli\u003etheir applications to moment problems.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThe heart of the book is the comprehensive study of T-systems and the main aim is to give a complete proof of Karlin's theorem, which describes all positive and non-negative functions in these T-systems.\u003c\/p\u003e\n\u003cp\u003eThis book serves both as a research reference and as a textbook for advanced courses and seminars on T-systems, moment theory, real algebraic geometry, and related areas of mathematics.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003e\u003cstrong\u003ePhilipp J. di Dio\u003c\/strong\u003e is a research fellow and serves as substitute professor at the University of Konstanz. He studied Chemistry (B.Sc.) and Mathematics (Dipl.-Math.) at Leipzig University. He later completed his doctoral studies at Leipzig University and the Max Planck Institute for Mathematics in the Sciences where he specialized in the mathematical theory of moments and its functional-analytic foundations. His research lies at the intersection of real algebraic geometry, functional analysis, optimization, probability, and partial differential equations.\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e25 February 2027\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eBirkhäuser\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032416322\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":57339889680524,"sku":"9783032416322","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032416322.jpg?v=1789653368","url":"https:\/\/lateknightbooks.com\/products\/9783032416322","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}