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
Innehållsförteckning
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.Köp den här e-boken och få 1 till GRATIS!
Språk Engelska ● Formatera PDF ● Sidor 222 ● ISBN 9783034806251 ● Filstorlek 2.4 MB ● Ålder 02-99 år ● Utgivare Birkhäuser Verlag GmbH ● Stad Basel ● Land CH ● Publicerad 2014 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 5232304 ● Kopieringsskydd Social DRM
Fler e-böcker från samma författare (r) / Redaktör
2 188 E-böcker i denna kategori
