Average Decay Estimates for Fourier Transforms of Measures Supported on Curves

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 8 in Decay of the Fourier Transform, 2014, pp 173-203 from Springer

Abstract: Abstract The previous three chapters dealt with average decay for subsets of ℝ d , which quickly reduces to the problem of average decay of Fourier transforms of measures supported on surfaces of co-dimension one. In this chapter we address the issue of Fourier transform of average decay of measures supported on curves in ℝ d with some tantalizing connection with the classical restriction theory.

Keywords: Oscillatory Integral; Type Assumption; Average Decay; Polynomial Curf; Implicit Constant (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_9

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DOI: 10.1007/978-3-0348-0625-1_9

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