Decay of the Fourier Transform

Name: Decay of the Fourier Transform
Brand: Springer Nature
SKU: 9783034806244
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Springer Nature

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9783034806244

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Product Description

The 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 dedicated 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.

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