دانلود کتاب Decay of the Fourier Transform: Analytic and Geometric Aspects

Name: Decay of the Fourier Transform: Analytic and Geometric Aspects
Availability: InStock
Author: Iosevich, Alexander
ISBN: 3034806248,9783034806244,9783034806251,303

by Iosevich, Alexander, Liflyand, Elijah

عنوان فارسی: فروپاشی Fourier Transform: تحلیلی و جنبه های هندسی
ناشر: Birkhäuser / Springer
سال: 2014
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 222-226
شابک: 3034806248,9783034806244,9783034806251,303
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 1.66 مگابایت

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جزییات کتاب

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.