Alex Iosevich, Elijah Liflyand

eBook, PDF

Decay of the Fourier Transform (eBook, PDF)

Analytic and Geometric Aspects

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 2.35MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 222
• Erscheinungstermin: 1. Oktober 2014
• Englisch
• ISBN-13: 9783034806251
• Artikelnr.: 44122512

Rezensionen

"The overall presentation is clear and the reader is carefully guided through this territory which is marked by a beautiful blend of ideas and techniques from analysis, geometry and also number theory." (Wien R. Steinbauer, Monatshefte für Mathematik, Vol. 185, 2018)

"It is an introduction to current topics in Fourier analysis, to be read and appreciated by mathematicians ... . the book is carefully designed and well written. It does a very good job of familiarizing the reader with the relevant techniques and results, relying on a beautiful interplay of analysis, geometry and number theory." (Hartmut Führ, Mathematical Reviews, January, 2016)