{"product_id":"9783034806244","title":"Decay of the Fourier Transform: Analytic and Geometric Aspects","description":"\u003ch1\u003eDecay of the Fourier Transform: Analytic and Geometric Aspects\u003c\/h1\u003e \u003ch2\u003eIosevich, Alex; Liflyand, Elijah\u003c\/h2\u003e \u003cp\u003eThe Plancherel formula says that the \u003ci\u003eL\u003c\/i\u003e^2 norm of the function is equal to the \u003ci\u003eL\u003c\/i\u003e^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an \u003ci\u003eL\u003c\/i\u003e^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original \u003ci\u003eL\u003c\/i\u003e^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.​\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-10-10\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783034806244\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-0625-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 222\u003c\/p\u003e ","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":44807219511436,"sku":"9783034806244","price":107.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034806244.jpg?v=1775826288","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783034806244","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}