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.?
Langue Anglais ● Format PDF ● ISBN 9783034806251 ● Maison d’édition Springer Basel ● Publié 2014 ● Téléchargeable 3 fois ● Devise EUR ● ID 5232304 ● Protection contre la copie Adobe DRM
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