Explicit Salem sets and applications to metrical Diophantine approximation

Kyle Hambrook

Type: Preprint

Publication Date: 2016-04-01

Citations: 6

Locations

arXiv (Cornell University) - View

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+	Explicit Salem sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2017	Kyle Hambrook
+	Fourier dimension and avoidance of linear patterns	2020	Yiyu Liang Malabika Pramanik
+	Inhomogeneous Diophantine Approximation on $M_0$-sets with restricted denominators	2019	Andrew Pollington Sanju Velani Agamemnon Zafeiropoulos Evgeniy Zorin
+ PDF Chat	On polynomial configurations in fractal sets	2016	Kevin Henriot Izabella Łaba Malabika Pramanik
+	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$-adic numbers	2017	Robert Fraser Kyle Hambrook
+ PDF Chat	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the<i>p</i>-adic numbers	2019	Robert Fraser Kyle Hambrook

Works Cited by This (11)

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+	Lectures on Harmonic Analysis	2003	Thomas Wolff
+ PDF Chat	Fourier transforms of Gibbs measures for the Gauss map	2015	T. H. Jordan Tuomas Sahlsten
+	Analyse de Fourier des fractions continues a quotients restreints	2003	Martine Queffélec
+	The Hausdorff Dimension of Sets Arising from Diophantine Approximation with a General Error Function	1998	Bryan P. Rynne
+	Sets of Fractional Dimensions which Occur in Some Problems of Number Theory	1952	H. G. Eggleston
+ PDF Chat	Random recursive construction of Salem sets	1996	Christian Bluhm
+	An Introduction to the Bootstrap	1994	Bradley Efron Robert Tibshirani
+ PDF Chat	On singular monotonic functions whose spectrum has a given Hausdorff dimension	1951	R. Salem
+ PDF Chat	Arithmetic Progressions in Sets of Fractional Dimension	2009	Izabella Łaba Malabika Pramanik
+	Zur metrischen Theorie der diophantischen Approximationen	1926	A. Khintchine