Ana Vargas

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All published works

Action	Title	Year	Authors
+	Real Analysis, Harmonic Analysis and Applications	2023	Michael Christ Detlef Müller Christoph Thiele Ana Vargas
+ PDF	Fourier restriction for smooth hyperbolic 2-surfaces	2022	Stefan Buschenhenke Detlef Müller Ana Vargas
+ PDF	A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning	2022	Stefan Buschenhenke Detlef Müller Ana Vargas
+ PDF Chat	Partitions of Flat One-Variate Functions and a Fourier Restriction Theorem for Related Perturbations of the Hyperbolic Paraboloid	2021	Stefan Buschenhenke Detlef Müller Ana Vargas
+	On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid	2021	Stefan Buschenhenke Detlef Müller Ana Vargas
+	Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid	2020	Stefan Buschenhenke Detlef Müller Ana Vargas
+	A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning	2020	Stefan Buschenhenke Detlef Müller Ana Vargas
+	Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid	2020	Stefan Buschenhenke Detlef Müller Ana Vargas
+	Fourier restriction for smooth hyperbolic 2-surfaces	2020	Stefan Buschenhenke Detlef Müller Ana Vargas
+ PDF Chat	A Fourier restriction theorem for a perturbed hyperbolic paraboloid	2019	Stefan Buschenhenke Detlef Müller Ana Vargas
+	On Fourier restriction for finite-type perturbations of the hyperboloid	2019	Stefan Buschenhenke Detlef Müller Ana Vargas
+ PDF Chat	Improved bound for the bilinear Bochner–Riesz operator	2018	Eun-Hee Jeong Sanghyuk Lee Ana Vargas
+	A Fourier restriction theorem for a perturbed hyperboloid	2018	Stefan Buschenhenke Detlef Müller Ana Vargas
+	A Fourier restriction theorem for a perturbed hyperbolic paraboloid	2018	Stefan Buschenhenke Detlef Müller Ana Vargas
+	A Fourier restriction theorem for a perturbed hyperbolic paraboloid	2018	Stefan Buschenhenke Detlef Müller Ana Vargas
+ PDF Chat	A Fourier restriction theorem for a two-dimensional surface of finite type	2017	Stefan Buschenhenke Detlef Müller Ana Vargas
+	Improved bound for the bilinear Bochner-Riesz operator	2017	Eun-Hee Jeong Sanghyuk Lee Ana Vargas
+	Localization for Riesz means of Fourier expansions	2014	Leonardo Colzani Giacomo Gigante Ana Vargas
+ PDF	Harmonic Analysis and Partial Differential Equations	2014	Patricio Cifuentes JosÃ© GarcÃa-Cuerva Gustavo GarrigÃ s Eugenio HernÃ¡ndez JosÃ© Martell Javier Parcet Keith M. Rogers Alberto Ruiz Fernando Soria Ana Vargas
+	Reconstruction of Discontinuities from Backscattering Data in Two Dimensions	2013	Juan Antonio Barceló Daniel Faraco Alberto Ruiz Ana Vargas
+	Problems on Pointwise Convergence of Solutions to the Schrödinger Equation	2012	Chu-Hee Cho Sanghyuk Lee Ana Vargas
+	On the cone multiplier 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>3</mml:mn></mml:mrow></mml:msup></mml:math>	2012	Sanghyuk Lee Ana Vargas
+	An endpoint space–time estimate for the Schrödinger equation	2010	Sanghyuk Lee Keith M. Rogers Ana Vargas
+	Restriction estimates for some surfaces with vanishing curvatures	2010	Sanghyuk Lee Ana Vargas
+ PDF	Harmonic Analysis and Partial Differential Equations	2010	Patricio Cifuentes José Garcı́a-Cuerva Gustavo Garrigós Eugenio Hernández José María Martell Javier Parcet Alberto Ruiz Fernando Soria José L. Torrea Ana Vargas
+	Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers	2009	Juan Antonio Barceló Daniel Faraco Alberto Ruiz Ana Vargas
+ PDF	Corrigendum for “a Stein conjecture for the circle”	2008	Jonathan Bennett Anthony Carbery Fernando Soria Ana Vargas
+	Sharp null form estimates for the wave equation	2008	Sanghyuk Lee Ana Vargas
+ PDF	A smoothing property for the $ L^{2} $-critical NLS equations and an application to blowup theory	2008	Sahbi Keraani Ana Vargas
+	Sharp Null Form Estimates for the Wave Equation in	2008	Sanghyuk Lee Keith M. Rogers Ana Vargas
+	Localisation and weighted inequalities for spherical Fourier means	2007	Anthony Carbery Fernando Soria Ana Vargas
+ PDF	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas
+ PDF	A Stein Conjecture for the Circle	2006	Jonathan Bennett Anthony Carbery Fernando Soria Ana Vargas
+	A refinement of the Strichartz inequality on the saddle and applications	2006	Keith M. Rogers Ana Vargas
+	Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation	2006	Keith M. Rogers Ana Vargas Luis Vega
+	Partial Recovery of a Potential from Backscattering Data	2005	Alberto Ruiz Ana Vargas
+	Restriction theorems for a surface with negative curvature	2004	Ana Vargas
+ PDF	A remark on maximal operators along directions in ${\Bbb R}^2$	2003	Angeles Alfonseca Fernando Soria Ana Vargas
+	An almost-orthogonality principle in 𝐿² for directional maximal functions	2003	Angeles Alfonseca Fernando Soria Ana Vargas
+ PDF	Randomised circular means of Fourier transforms of measures	2002	Jonathan Bennett Ana Vargas
+	Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm	2001	Ana Vargas Luis Vega
+	A bilinear approach to cone multipliers I. Restriction estimates	2000	Terence Tao Ana Vargas
+	A bilinear approach to cone multipliers II. Applications	2000	Terence Tao Ana Vargas
+	A Note on a Maximal Function Over Arbitrary Sets of Directions	2000	María Pereyra Ana Vargas
+	Restriction theorems and maximal operators related to oscillatory integrals in ℝ3	1999	Adela Moyua Ana Vargas Luis Vega
+	Maximal operators associated to Fourier multipliers with an arbitrary set of parameters	1998	Javier Duoandikoetxea Ana Vargas
+ PDF	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega
+	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega
+ PDF	Checkerboards, Lipschitz functions and uniform rectifiability	1997	Peter W. Jones Nets Hawk Katz Ana Vargas
+	None	1996	Adela Moyua Ana Vargas Luis Vega
+ PDF	Directional operators and radial functions on the plane	1995	Javier Duoandikoetxea Ana Vargas
+	A remark on a maximal function over a Cantor set of directions	1995	Ana Vargas
+ PDF	A weighted inequality for the Kakeya maximal operator	1994	Ana Vargas
+	On the maximal function for rotation invariant measures in $ℝ^{n}$	1994	Ana Vargas

Common Coauthors

Coauthor	Papers Together
Stefan Buschenhenke	14
Detlef Müller	11
Sanghyuk Lee	8
Fernando Soria	7
Luis Vega	6
Alberto Ruiz	5
Keith M. Rogers	5
Terence Tao	4
Detlef Müller	4
Jonathan Bennett	3
Anthony Carbery	3
Daniel Faraco	2
Angeles Alfonseca	2
Eun-Hee Jeong	2
Javier Parcet	2
Adela Moyua	2
Javier Duoandikoetxea	2
Juan Antonio Barceló	2
Patricio Cifuentes	2
María Pereyra	1
Eugenio Hernández	1
Christoph Thiele	1
Eugenio HernÃ¡ndez	1
Pascal Bégout	1
Sahbi Keraani	1
Peter W. Jones	1
Gustavo Garrigós	1
Giacomo Gigante	1
Leonardo Colzani	1
José María Martell	1
JosÃ© GarcÃa-Cuerva	1
Gustavo GarrigÃ s	1
Michael Christ	1
JosÃ© Martell	1
Nets Hawk Katz	1
José Garcı́a-Cuerva	1
José L. Torrea	1
Chu-Hee Cho	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega	22
+	None	1996	Adela Moyua Ana Vargas Luis Vega	20
+	Estimates for Cone Multipliers	1995	Jean Bourgain	19
+	A bilinear approach to cone multipliers I. Restriction estimates	2000	Terence Tao Ana Vargas	19
+ PDF Chat	A sharp bilinear restriction estimate for paraboloids	2003	Terence Tao	18
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain	18
+ PDF	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	17
+	Restriction theorems and maximal operators related to oscillatory integrals in ℝ3	1999	Adela Moyua Ana Vargas Luis Vega	17
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	16
+	A bilinear approach to cone multipliers II. Applications	2000	Terence Tao Ana Vargas	16
+	Bilinear restriction estimates for surfaces with curvatures of different signs	2005	Sanghyuk Lee	15
+ PDF Chat	A Sharp Bilinear Cone Restriction Estimate	2001	Thomas Wolff	15
+ PDF	Inequalities for strongly singular convolution operators	1970	Charles Fefferman	14
+	Restriction theorems for a surface with negative curvature	2004	Ana Vargas	14
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth	13
+ PDF Chat	Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates	2001	Terence Tao	11
+	Uniform Estimates for the Fourier Transform of Surface Carried Measures in ℝ3 and an Application to Fourier Restriction	2011	Isroil A. Ikromov Detlef Müller	10
+	Restriction estimates for some surfaces with vanishing curvatures	2010	Sanghyuk Lee Ana Vargas	10
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	10
+	Improved restriction estimate for hyperbolic surfaces 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>3</mml:mn></mml:mrow></mml:msup></mml:math>	2017	Chu-Hee Cho Jungjin Lee	9
+	A restriction estimate using polynomial partitioning	2015	Larry Guth	9
+ PDF	Restriction estimates using polynomial partitioning II	2018	Larry Guth	9
+	Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra	2016	Isroil A. Ikromov Detlef Müller	9
+ PDF	Optimal Bilinear Restriction Estimates for General Hypersurfaces and the Role of the Shape Operator	2016	Ioan Bejenaru	8
+	The Kakeya Maximal Function and the Spherical Summation Multipliers	1977	Antonio Córdoba	8
+ PDF	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao	8
+ PDF Chat	Scale-invariant Fourier restriction to a hyperbolic surface	2018	Betsy Stovall	8
+	On the restriction and multiplier problems in R3	1991	Jean Bourgain	7
+ PDF Chat	A Fourier restriction theorem for a two-dimensional surface of finite type	2017	Stefan Buschenhenke Detlef Müller Ana Vargas	7
+	The Bochner-Riesz conjecture implies the restriction conjecture	1999	Terence Tao	7
+	Some remarks on Fourier restriction estimates	2017	Jongchon Kim	7
+ PDF	On Fourier coefficients and transforms of functions of two variables	1974	A. Zygmund	6
+ PDF	Estimates for maximal functions associated with hypersurfaces in ℝ3 and related problems of harmonic analysis	2010	Isroil A. Ikromov Michael Kempe Detlef Müller	6
+ PDF	Oscillatory integrals and multiplier problem for the disc	1972	Lennart Carleson Per Sjölin	6
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	5
+	Linear and bilinear restriction to certain rotationally symmetric hypersurfaces	2015	Betsy Stovall	5
+	On Fourier restriction for finite-type perturbations of the hyperboloid	2019	Stefan Buschenhenke Detlef Müller Ana Vargas	5
+	On the regularity properties of a model problem related to wave maps	1997	Sergiù Klainerman Matei Machedon	5
+	The Multiplier Problem for the Ball	1971	Charles Fefferman	5
+ PDF	Estimates for some square functions of Littlewood-Paley type	1983	J.-L. Rubio de Francia	5
+	A remark on Schrödinger operators	1992	Jean Bourgain	5
+ PDF	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff	5
+ PDF Chat	A Fourier restriction theorem for a perturbed hyperbolic paraboloid	2019	Stefan Buschenhenke Detlef Müller Ana Vargas	5
+	A note on spherical summation multipliers	1973	Charles Fefferman	4
+ PDF Chat	Multi-scale bilinear restriction estimates for general phases	2019	Timothy Candy	4
+	Self-Spreading and Strength of Singularities for Solutions to Semilinear Wave Equations	1983	Michael Beals	4
+ PDF	Schrödinger equations: pointwise convergence to the initial data	1988	Luis Vega	4
+ PDF	On the restriction of the Fourier transform to a conical surface	1985	Bartolome Barcelo Taberner	4
+	None	1996	Sergiù Klainerman Matei Machedon	4
+ PDF	A note on the cone multiplier	1993	Gerd Mockenhaupt	4