Robert Fraser

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Fourier restriction and well-approximable numbers	2024	Robert Fraser Kyle Hambrook Donggeun Ryou
+	Fourier Dimension Estimates for Sets of Exact Approximation Order: The Case of Small Approximation Exponents	2024	Robert Fraser REUBEN WHEELER
+ PDF Chat	Oscillatory integrals with phases arising from algebraic number fields	2024	Robert Fraser
+ PDF Chat	Explicit Salem sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2023	Robert Fraser Kyle Hambrook
+	Fourier Dimension Estimates for Sets of Exact Approximation Order: The Badly-Approximable Case	2023	Robert Fraser REUBEN WHEELER
+	Fourier restriction and well-approximable numbers	2023	Robert Fraser Kyle Hambrook Donggeun Ryou
+ PDF Chat	Fourier Dimension Estimates for Sets of Exact Approximation Order: The Well-Approximable Case	2022	Robert Fraser Reuben Wheeler
+ PDF Chat	Polynomial Roth Theorems on Sets of Fractional Dimensions	2021	Robert Fraser Shaoming Guo Malabika Pramanik
+ PDF Chat	Three-term arithmetic progressions in subsets of F_q^∞ of large Fourier dimension	2021	Robert Fraser
+	Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case	2021	Robert Fraser REUBEN WHEELER
+ PDF Chat	The local sum conjecture in two dimensions	2020	Robert Fraser James Wright
+	Three-term arithmetic progressions in subsets of $\mathbb{F}_q^{\infty}$ of large Fourier dimension	2020	Robert Fraser
+	Three-term arithmetic progressions in subsets of $\mathbb{F}_q^{\infty}$ of large Fourier dimension	2020	Robert Fraser
+	On The Local Sum Conjecture in Two Dimensions	2019	Robert Fraser James Wright
+	Polynomial Roth theorems on sets of fractional dimensions	2019	Robert Fraser Shaoming Guo Malabika Pramanik
+ PDF Chat	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the<i>p</i>-adic numbers	2019	Robert Fraser Kyle Hambrook
+	On The Local Sum Conjecture in Two Dimensions	2019	Robert Fraser James Wright
+	Explicit Salem sets in $\mathbb{R}^n$	2019	Robert Fraser Kyle Hambrook
+	Polynomial Roth theorems on sets of fractional dimensions	2019	Robert Fraser Shaoming Guo Malabika Pramanik
+	On Combinatorial Depth Measures	2018	Stéphane Durocher Robert Fraser Alexandre Leblanc Jason Morrison Matthew Skala
+ PDF Chat	Large sets avoiding patterns	2018	Robert Fraser Malabika Pramanik
+	Configurations in fractal sets in Euclidean and non-Archimedean local fields : [errata]	2018	Robert Fraser
+	A framework for constructing sets without configurations	2018	Robert Fraser
+	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$-adic numbers	2017	Robert Fraser Kyle Hambrook
+	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$-adic numbers	2017	Robert Fraser Kyle Hambrook
+	Large subsets of Local Fields not containing Configurations	2016	Robert Fraser
+ PDF Chat	KAKEYA‐TYPE SETS IN LOCAL FIELDS WITH FINITE RESIDUE FIELD	2016	Robert Fraser
+	Explicit Salem Sets in $\mathbb{R}^2$	2016	Robert Fraser Kyle Hambrook
+	Large subsets of Local Fields not containing Configurations	2016	Robert Fraser
+ PDF Chat	A (7/2)-Approximation Algorithm for Guarding Orthogonal Art Galleries with Sliding Cameras	2014	Stéphane Durocher Omrit Filtser Robert Fraser Ali D. Mehrabi Saeed Mehrabi
+	A (7/2)-Approximation Algorithm for Guarding Orthogonal Art Galleries with Sliding Cameras	2013	Stéphane Durocher Omrit Filtser Robert Fraser Ali D. Mehrabi Saeed Mehrabi
+ PDF Chat	The Distance 4-Sector of Two Points Is Unique	2013	Robert Fraser Meng He Akitoshi Kawamura Alejandro López‐Ortiz J. Ian Munro Patrick K. Nicholson
+	On the number of prime solutions to a system of quadratic equations	2013	Robert Fraser
+	A (7/2)-Approximation Algorithm for Guarding Orthogonal Art Galleries with Sliding Cameras	2013	Stéphane Durocher Omrit Filtser Robert Fraser Ali Mehrabi Saeed Mehrabi
+	On k-enclosing objects in a coloured point set	2013	Luis Barba Stéphane Durocher Robert Fraser Ferrán Hurtado Saeed Mehrabi Debajyoti Mondal Jason Morrison Matthew Skala Mohammad Abdul Wahid
+	Frame bounds for subspaces of L 2(R)	2012	Yeon Hyang Kim Matthew J. Petro Andrew Dugowson Robert Fraser
+	Axiom systems for Lipschitz structures	1970	Robert Fraser
+ PDF Chat	Sequences of contractive maps and fixed points	1969	Robert Fraser Sam B. Nadler
+ PDF Chat	Banach spaces of functions satisfying a modulus of continuity condition	1969	Robert Fraser

Common Coauthors

Coauthor	Papers Together
Kyle Hambrook	8
Stéphane Durocher	5
Saeed Mehrabi	4
Malabika Pramanik	4
Omrit Filtser	3
REUBEN WHEELER	3
James Wright	3
Shaoming Guo	2
Jason Morrison	2
Matthew Skala	2
Donggeun Ryou	2
Ali D. Mehrabi	2
Shaoming Guo	1
Mohammad Abdul Wahid	1
Alexandre Leblanc	1
Yeon Hyang Kim	1
J. Ian Munro	1
Ferrán Hurtado	1
Meng He	1
Ali Mehrabi	1
Debajyoti Mondal	1
Reuben Wheeler	1
Patrick K. Nicholson	1
Andrew Dugowson	1
Luis Barba	1
Sam B. Nadler	1
Matthew J. Petro	1
Akitoshi Kawamura	1
Alejandro López-Ortíz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Arithmetic Progressions in Sets of Fractional Dimension	2009	Izabella Łaba Malabika Pramanik	10
+ PDF Chat	On singular monotonic functions whose spectrum has a given Hausdorff dimension	1951	R. Salem	8
+ PDF Chat	On the theorem of Jarník and Besicovitch	1981	Robert Kaufman	8
+ PDF Chat	Random recursive construction of Salem sets	1996	Christian Bluhm	6
+	Some Random Series of Functions	1985	Jean‐Pierre Kahane	5
+	Fourier Analysis and Hausdorff Dimension	2015	Pertti Mattila	5
+	Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers	1934	A. S. Besicovitch	5
+ PDF Chat	On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets	1998	Christian Bluhm	5
+	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	4
+ PDF Chat	The Hausdorff dimension of systems of linear forms	1986	J. Bovey M. M. Dodson	4
+	Fourier restriction phenomenon in thin sets	2010	C. Papadimitropoulos	4
+ PDF Chat	Extensions of the Stein–Tomas Theorem	2011	Jong-Guk Bak Andreas Seeger	4
+	Salem sets and restriction properties of Fourier transforms	2000	Gerd Mockenhaupt	4
+ PDF Chat	On Fourier Analytic Properties of Graphs	2013	Jonathan M. Fraser Tuomas Orponen Tuomas Sahlsten	4
+	Sets of Fractional Dimensions which Occur in Some Problems of Number Theory	1952	H. G. Eggleston	4
+ PDF Chat	A 1-DIMENSIONAL SUBSET OF THE REALS THAT INTERSECTS EACH OF ITS TRANSLATES IN AT MOST A SINGLE POINT	1998	Keleti	4
+	Explicit Salem sets and applications to metrical Diophantine approximation	2018	Kyle Hambrook	4
+ PDF Chat	Spatially independent martingales, intersections, and applications	2017	Pablo Shmerkin Ville Suomala	4
+ PDF Chat	Convolution Powers of Salem Measures With Applications	2016	Xianghong Chen Andreas Seeger	4
+ PDF Chat	Finite configurations in sparse sets	2016	Vincent Chan Izabella Łaba Malabika Pramanik	3
+ PDF Chat	A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures	2006	Victor Beresnevich Sanju Velani	3
+ PDF Chat	Salem Sets with No Arithmetic Progressions	2016	Pablo Shmerkin	3
+	On Sets of Integers Which Contain No Three Terms in Arithmetical Progression	1946	Felix Behrend	3
+	A Stein--Tomas restriction theorem for general measures	2002	Themis Mitsis	3
+	Lectures on Harmonic Analysis	2003	Thomas Wolff	3
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	3
+	Fourier Analysis on Local Fields.	2016	Mitchell Taibleson	3
+ PDF Chat	On the Fourier dimension and a modification	2015	Fredrik Ekström Tomas Persson Jörg Schmeling	3
+	Explicit Salem sets and applications to metrical Diophantine approximation	2016	Kyle Hambrook	2
+	Sets of Salem type and sharpness of the 𝐿²-Fourier restriction theorem	2015	Xianghong Chen	2
+ PDF Chat	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiao-Chun Li	2
+ PDF Chat	Introduction to the Theory of Analytic Spaces	1966	Raghavan Narasimhan	2
+	A combinatorial theorem in plane geometry	1975	Vašek Chvátal	2
+	On Some Exponential Sums	1948	André Weil	2
+	Algebraic Number Theory	2014	Frazer Jarvis	2
+	Salem sets in local fields, the Fourier restriction phenomenon and the Hausdorff–Young inequality	2010	C. Papadimitropoulos	2
+ PDF Chat	Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications	2011	Javier Cilleruelo Moubariz Z. Garaev	2
+	A polynomial Roth theorem on the real line	2018	Polona Durcik Shaoming Guo Joris Roos	2
+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine	2
+	How large dimension guarantees a given angle?	2012	Viktor Harangi Tamàs Keleti Gergely Kiss Péter Maga András Máthé Pertti Mattila Balázs Strenner	2
+	Classes of singular integral operators along variable lines	1999	Anthony Carbery Andreas Seeger Stephen Wainger James Wright	2
+	On the growth and stability of real-analytic functions	1999	D. H. Phong E. M. Stein Jacob Sturm	2
+ PDF Chat	Construction of one-dimensional subsets of the reals not containing similar copies of given patterns	2008	Tamás Keleti	2
+ PDF Chat	Representations of algebraic numbers by matrices	1978	D. K. Faddeev	2
+	A Course in Abstract Harmonic Analysis	2015	Gerald B. Folland	2
+	Full Dimensional Sets Without Given Patterns	2011	Péter Maga	2
+	Uniform Estimates for the Fourier Transform of Surface Carried Measures in ℝ3 and an Application to Fourier Restriction	2011	Isroil A. Ikromov Detlef Müller	2
+ PDF Chat	From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums	2010	James Wright	2
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	2
+	Sets of exact approximation order by rational numbers	2003	Yann Bugeaud	2