L 1-average Decay of the Fourier Transform of a Characteristic Function of a Convex Set

Alex Iosevich and Elijah Liflyand
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Alex Iosevich: University of Rochester, Department of Mathematics
Elijah Liflyand: Bar-Ilan University, Department of Mathematics

Chapter Chapter 6 in Decay of the Fourier Transform, 2014, pp 137-160 from Springer

Abstract: Abstract In the previous chapter we obtained optimal L 2-average decay under the assumption that the set B is bounded and has a convex boundary. We now turn our attention to obtaining more detailed understanding of this problem in the twodimensional setting.

Keywords: Convex Hull; Lattice Point; Convex Body; Discrepancy Function; Convex Polygon (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0625-1_7

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DOI: 10.1007/978-3-0348-0625-1_7

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