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100   $a20141001d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDecay of the Fourier Transform $eAnalytic and Geometric Aspects /$fby Alex Iosevich, Elijah Liflyand
205   $a1st ed. 2014.
210  1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2014.
215   $a1 online resource (226 p.)
300   $aDescription based upon print version of record.
311 08$a3-0348-0624-8 
320   $aIncludes bibliographical references and index.
327   $aForeword -- 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.
330   $aThe 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.
606   $aMathematical analysis
606   $aFourier analysis
606   $aAnalysis
606   $aFourier Analysis
615  0$aMathematical analysis.
615  0$aFourier analysis.
615 14$aAnalysis.
615 24$aFourier Analysis.
676   $a510
676   $a515
676   $a515.2433
700   $aIosevich$b Alex$f1967-$4aut$4http://id.loc.gov/vocabulary/relators/aut$01846394
702   $aLiflyand$b Elijah$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910768182003321
996   $aDecay of the Fourier Transform$94430834
997   $aUNINA