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.
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.
€106.99
Содержание
Foreword.- Introduction.- Chapter 1. Basic properties of the Fourier transform.- Chapter 2. Oscillatory integrals and Fourier transforms in one variable.- Chapter 3. The Fourier transform of an oscillating function.- Chapter 4. The Fourier transform of a radial function.- Chapter 5. Multivariate extensions.- Appendix.- Bibliography.Купите эту электронную книгу и получите еще одну БЕСПЛАТНО!
язык английский ● Формат PDF ● страницы 222 ● ISBN 9783034806251 ● Размер файла 2.4 MB ● Возраст 02-99 лет ● издатель Birkhäuser Verlag GmbH ● город Basel ● Страна CH ● опубликованный 2014 ● Загружаемые 24 месяцы ● валюта EUR ● Код товара 5232304 ● Защита от копирования Социальный DRM
Больше книг от того же автора (ов) / редактор
2 188 Электронные книги в этой категории
