Convolution Powers of Salem Measures With Applications
2017 ◽
Vol 69
(02)
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pp. 284-320
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Keyword(s):
AbstractWe study the regularity of convolution powers for measures supported on Salemsets, and prove related results on Fourier restriction and Fourier multipliers. In particular we show that for α of the form d/n, n = 2, 3, … there exist α-Salem measures for which the L2Fourier restriction theorem holds in the range. The results rely on ideas of Körner. We extend some of his constructions to obtain upper regular α-Salem measures, with sharp regularity results forn-fold convolutions for all n ∈ ℕ.
2014 ◽
Vol 142
(11)
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pp. 3897-3901
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2005 ◽
Vol 48
(2)
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pp. 260-266
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2003 ◽
Vol 132
(4)
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pp. 1195-1199
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2014 ◽
Vol 25
(3)
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pp. 1476-1491
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2014 ◽
Vol 266
(9)
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pp. 5584-5597
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2019 ◽
Vol 120
(1)
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pp. 124-154
2015 ◽
Vol 368
(3)
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pp. 1959-1977
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2011 ◽
Vol 140
(1)
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pp. 263-265
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