{"product_id":"9783032383266","title":"Fourier Decoupling Theory A Concise Course","description":"\u003ch3\u003eGraduate Texts in Mathematics\u003c\/h3\u003e\u003ch1\u003eFourier Decoupling Theory\u003c\/h1\u003e\u003ch2\u003eA Concise Course\u003c\/h2\u003e\u003ch3\u003eShaoming Guo\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eOriginating in the study of wave equations, Fourier decoupling theory is connected to partial differential equations, geometric measure theory, analytic number theory, combinatorics, and dynamical systems. It is a rapidly growing area of harmonic analysis, and its major applications include Bourgain and Demeter’s resolution of the Discrete Restriction Conjecture and subsequent breakthroughs on Vinogradov’s mean value theorem and the Lindelöf Hypothesis.\u003c\/p\u003e\r\n\u003cp\u003eThis book offers a concise introduction to decoupling theory. To keep the presentation accessible, it focuses on decoupling inequalities for two-dimensional parabolas and three-dimensional cones, whose proofs illustrate the central ideas behind modern decoupling methods. It explores applications of decoupling theory to analytic number theory and geometric measure theory, as well as its connections to the Kakeya and Nikodym problems, Fourier restriction theory, the Bochner–Riesz problem, local smoothing estimates, and square function estimates, emphasizing the simplest and most representative settings. The only prerequisite is an undergraduate course in Fourier analysis, making the book suitable for graduate students and advanced undergraduates.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eShaoming Guo\u003c\/strong\u003e is currently a professor at Chern Institute of Mathematics, Nankai University, working in harmonic analysis, in particular, in Fourier decoupling theory, Fourier restriction theory, and related areas, including analytic number theory and geometric measure theory.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e12 November 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eNankai Zhide Foundation\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032383266\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":"Nankai Zhide Foundation","offers":[{"title":"Default Title","offer_id":51945500868748,"sku":"9783032383266","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032383266.jpg?v=1786037975","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032383266","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}