Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Decay of the Fourier Transform - Analytic and Geometric Aspects

Decay of the Fourier Transform

Analytic and Geometric Aspects

Iosevich, Alex, Liflyand, Elijah

2014, XII, 222 p. 5 illus., 2 illus. in color.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$79.99

(net) price for USA

ISBN 978-3-0348-0625-1

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$109.00

(net) price for USA

ISBN 978-3-0348-0624-4

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Only book where the decay rate of the Fourier transform is the dominant theme
  • Systematic examination of the concepts
  • Focus on interaction between the analytic and geometric approaches of Fourier theory​
The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 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 L2 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.

Content Level » Research

Keywords » Fourier transform - bounded variation - curvature - decay rate - spherical average

Related subjects » Birkhäuser Mathematics

Table of contents 

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.​  

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.