TY - GEN digital ID - 131513928 TI - Decay of the Fourier Transform : Analytic and Geometric Aspects AU - Iosevich, Alex AU - Liflyand, Elijah PY - 2014 SN - 9783034806251 PB - Basel Springer, Imprint: Birkhäuser DB - UniCat KW - Mathematics KW - Differential geometry. Global analysis KW - Harmonic analysis. Fourier analysis KW - Mathematical analysis KW - Fourieranalyse KW - analyse (wiskunde) KW - statistiek KW - wiskunde UR - https://www.unicat.be/uniCat?func=search&query=sysid:131513928 AB - 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. ER -