{"product_id":"decay-of-the-fourier-transform-analytic-and-geometric-aspects-9783034806244","title":"Decay of the Fourier Transform: Analytic and Geometric Aspects","description":"\u003cp\u003e • Author(s): Alex Iosevich\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThe Plancherel formula says that the \u003ci\u003e\u003ci\u003eL\u003c\/i\u003e\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e norm of the function is equal to the \u003ci\u003e\u003ci\u003eL\u003c\/i\u003e\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e norm of its Fourier transform. This implies that at least on average, the Fourier transform of an \u003ci\u003e\u003ci\u003eL\u003c\/i\u003e\u003c\/i\u003e\u003csup\u003e2\u003c\/sup\u003e 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\u003csup\u003e2\u003c\/sup\u003e 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","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45278155210903,"sku":"9783034806244","price":8079.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783034806244.webp?v=1769290195","url":"https:\/\/atlanticbooks.com\/products\/decay-of-the-fourier-transform-analytic-and-geometric-aspects-9783034806244","provider":"Atlantic Books","version":"1.0","type":"link"}