Abstract
The previous three chapters dealt with average decay for subsets of ℝd, 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 ℝd with some tantalizing connection with the classical restriction theory.
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© 2014 Springer Basel
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Iosevich, A., Liflyand, E. (2014). Average Decay Estimates for Fourier Transforms of Measures Supported on Curves. In: Decay of the Fourier Transform. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0625-1_9
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DOI: https://doi.org/10.1007/978-3-0348-0625-1_9
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0624-4
Online ISBN: 978-3-0348-0625-1
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