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.?

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?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.

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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