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
表中的内容
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.购买此电子书可免费获赠一本！
语言 英语 ● 格式 PDF ● 网页 222 ● ISBN 9783034806251 ● 文件大小 2.4 MB ● 年龄 02-99 年份 ● 出版者 Birkhäuser Verlag GmbH ● 市 Basel ● 国家 CH ● 发布时间 2014 ● 下载 24 个月 ● 货币 EUR ● ID 5232304 ● 复制保护 社会DRM
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