The Plancherel formula says that theL^2 norm of the function is equal to theL^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of anL^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 originalL^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. | Decay of the Fourier Transform by Alex Iosevich, Hardcover | Indigo Chapters