Titlebook: Decay of the Fourier Transform; Analytic and Geometr Alex Iosevich,Elijah Liflyand Book 2014 Springer Basel 2014 Fourier transform.bounded

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Book 2014ptions and circumstances, far beyond the original .L.^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.​

性上瘾

„Die Scham darüber, überhaupt zu sein“ of averaging over rotations in some ..-norm. This naturally leads us to the examination of certain maximal functions and as a result brings in some classical harmonic analysis that arises so often in the first part of this book.

织物

tween the analytic and geometric approaches of Fourier theorThe Plancherel formula says that the .L.^2 norm of the function is equal to the .L.^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an .L.^2 function decays at infinity. This book is dedicate

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Geometry of the Gauss Map and Lattice Points in Convex Domains of averaging over rotations in some ..-norm. This naturally leads us to the examination of certain maximal functions and as a result brings in some classical harmonic analysis that arises so often in the first part of this book.

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d to the study of the rate of this decay under various assumptions and circumstances, far beyond the original .L.^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.​978-3-0348-0625-1