TY  - BOOK
AU  - Iosevich,Alex
AU  - Liflyand,Elijah
TI  - Decay of the fourier transform: analytic and geometric aspects 
SN  - 9783034806244 (hard cover : alk. paper)
U1  - 515.2433  23
PY  - 2014///
CY  - New York :   
PB  - Springer, 
KW  - Fourier analysis.
KW  - Geometric analysis.
N1  - Includes bibliographical references and index; 1. Basic properties of the Fourier transform --
 2. Oscillatory integrals --
 3. The Fourier transform of convex and oscillating functions --
 4. The Fourier transform of a radial function --
 5. L²-average decay of the Fourier transform of a characteristic function of a convex set --
6. L¹-average decay of the Fourier transform of a characteristic function of a convex set --
7. Geometry of the Gauss map and lattice points in convex domains --
8. Average decay estimates for Fourier transforms of measures supported on curves--
Epilogue--
Bibliography--
Index
N2  - 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  -