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Decay of the Fourier Transform
Decay of the Fourier Transform
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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…
  • Leidėjas:
  • Metai: 2014
  • Puslapiai: 222
  • ISBN-10: 3034806248
  • ISBN-13: 9783034806244
  • Formatas: 15.6 x 23.4 x 1.4 cm, kieti viršeliai
  • Kalba: Anglų

Decay of the Fourier Transform (el. knyga) (skaityta knyga) | knygos.lt

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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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  • Autorius: Alex Iosevich
  • Leidėjas:
  • Metai: 2014
  • Puslapiai: 222
  • ISBN-10: 3034806248
  • ISBN-13: 9783034806244
  • Formatas: 15.6 x 23.4 x 1.4 cm, kieti viršeliai
  • Kalba: Anglų

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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