Erwan Le Gruyer

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All published works

Action	Title	Year	Authors
+ PDF Chat	Kirszbraun’s Theorem via an Explicit Formula	2020	Daniel Azagra Erwan Le Gruyer Carlos Mudarra
+	Kirszbraun's theorem via an explicit formula	2018	Daniel Azagra Erwan Le Gruyer Carlos Mudarra
+	Kirszbraun's theorem via an explicit formula	2018	Daniel Azagra Erwan Le Gruyer Carlos Mudarra
+	Explicit formulas for C1,1 and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">conv</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>ω</mml:mi></mml:mrow></mml:msubsup></mml:math> extensions of 1-jets in Hilbert and superreflexive spaces	2017	Daniel Azagra Erwan Le Gruyer Carlos Mudarra
+	Explicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spaces	2017	Aris Daniilidis Mounir Haddou Erwan Le Gruyer Olivier Ley
+	Explicit formulas for $C^{1, 1}$ and $C^{1, \omega}_{\textrm{conv}}$ extensions of $1$-jets in Hilbert and superreflexive spaces	2017	Daniel Azagra Erwan Le Gruyer Carlos Mudarra
+	Explicit formulas for $C^{1,1}$ Glaeser-Whitney extensions of 1-fields in Hilbert spaces	2017	Aris Daniilidis Mounir Haddou Erwan Le Gruyer Olivier Ley
+	Kirszbraun extension on connected finite graph	2015	Erwan Le Gruyer Thanh Viet Phan
+	Some results of the Lipschitz constant of 1-Field on $\mathbb{R}^n$	2014	Erwan Le Gruyer Thanh Viet Phan
+ PDF Chat	Extremal Extensions for $m$-jets from $\R$ to $\R^n$	2010	Erwan Le Gruyer
+	Minimal Lipschitz Extensions to Differentiable Functions Defined on a Hilbert Space	2009	Erwan Le Gruyer
+ PDF Chat	On absolutely minimizing lipschitz extensions and PDE $$\Delta_\infty (u) = 0$$	2007	Erwan Le Gruyer
+ PDF Chat	Minimal Lipschitz Extensions to differentiable functions	2004	Erwan Le Gruyer
+	On Absolutely Minimizing Lipschitz Extensions and PDE $\Delta_infty = 0$	2004	Erwan Le Gruyer
+	On Absolutely Minimizing Lipschitz Extensions and PDE $Δ_infty = 0$	2004	Erwan Le Gruyer
+	Stability and Convergence of Extension Schemes to Continuous Functions in General Metric Spaces	1996	Erwan Le Gruyer J. C. Archer
+	Two shape preserving lagrangeC 2-interpolants	1993	J. C. Archer Erwan Le Gruyer
+	A constructive proof of a Whitney extension theorem in one variable	1992	J. C. Archer Erwan Le Gruyer
+	A two-dimensional Lagrange-Euler technique for gas dynamics	1985	Erwan Le Gruyer A. Roux

Common Coauthors

Coauthor	Papers Together
Carlos Mudarra	5
Daniel Azagra	5
J. C. Archer	3
Aris Daniilidis	2
Mounir Haddou	2
Olivier Ley	2
Thanh Viet Phan	2
A. Roux	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Lipschitz Condition Preserving Extension for a Vector Function	1945	F. A. Valentine	9
+ PDF Chat	Whitney’s extension problem for C<sup>m</sup>	2006	Charles Fefferman	7
+ PDF Chat	Differentiable functions on Banach spaces with Lipschitz derivatives	1973	John C. Wells	7
+ PDF Chat	A sharp form of Whitney’s extension theorem	2005	Charles Fefferman	7
+ PDF Chat	Extension of range of functions	1934	E. J. McShane	6
+	Minimal Lipschitz Extensions to Differentiable Functions Defined on a Hilbert Space	2009	Erwan Le Gruyer	5
+	Whitney extension theorems for convex functions of the classes C1 and C1,ω	2017	Daniel Azagra Carlos Mudarra	5
+ PDF Chat	Whitney’s extension problems and interpolation of data	2008	Charles Fefferman	5
+	Étude de Quelques Algèbres Tayloriennes	1958	Georges Glaeser	4
+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney	4
+	Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory	2010	Heinz H. Bauschke Xianfu Wang	4
+	Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions	2001	Yuri Brudnyi Pavel Shvartsman	4
+	An Extension Theorem for convex functions of class C1,1 on Hilbert spaces	2016	Daniel Azagra Carlos Mudarra	4
+ PDF Chat	Interpolation of data by smooth nonnegative functions	2017	Charles Fefferman Arie Israel Garving K. Luli	4
+ PDF Chat	Finiteness Principles for Smooth Selection	2016	Charles Fefferman Arie Israel Garving K. Luli	4
+	Differentiability of convex envelopes	2001	Bernd Kirchheim Jan Kristensen	3
+ PDF Chat	Definable versions of theorems by Kirszbraun and Helly	2010	Matthias Aschenbrenner Andreas Fischer	3
+	Sup–Inf explicit formulas for minimal Lipschitz extensions for 1-fields on<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:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2014	Erwan Y. Le Gruyer Thanh Viet Phan	3
+ PDF Chat	On the extension of a transformation	1949	Earl J. Mickle	3
+ PDF Chat	Computing minimal interpolants in $C^{1,1}(\mathbb R^d)$	2017	Ariel Herbert-Voss Matthew Hirn Frederick McCollum	3
+	Geometric Measure Theory	1988	Herbert Fédérer	3
+	Stability and Convergence of Extension Schemes to Continuous Functions in General Metric Spaces	1996	Erwan Le Gruyer J. C. Archer	3
+ PDF Chat	A tour of the theory of absolutely minimizing functions	2004	Gunnar Aronsson Michael G. Crandall Petri Juutinen	3
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	2
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	2
+	Geometric Nonlinear Functional Analysis	1999	Yoav Benyamini Joram Lindenstrauss	2
+	Smoothness and renormings in Banach spaces	1993	Robert Deville Gilles Godefroy Václav Zizler	2
+ PDF Chat	Strictly Convex Submanifolds and Hypersurfaces of Positive Curvature	2001	Mohammad Ghomi	2
+ PDF Chat	The problem of optimal smoothing for convex functions	2002	Mohammad Ghomi	2
+	Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient	1993	Robert Jensen	2
+	Absolutely minimal extensions of functions on metric spaces	1999	Victor Abramovich Milman	2
+ PDF Chat	On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces	2012	M. J. Sevilla Luis Sánchez-González	2
+	What is the Subdifferential of the Closed Convex Hull of a Function?	1996	Joël Benoist Jean‐Baptiste Hiriart‐Urruty	2
+	Fast Moreau envelope computation I: numerical algorithms	2007	Yves Lucet	2
+ PDF Chat	On the extension of uniformly continuous mappings.	1968	Branko Grünbaum Eduardo H. Zarantonello	2
+	Practical Aspects of the Moreau--Yosida Regularization: Theoretical Preliminaries	1997	Claude Lemaréchal Claudia Sagastizábal	2
+	Convex Analysis and Monotone Operator Theory in Hilbert Spaces	2017	Heinz H. Bauschke Patrick L. Combettes	2
+	Martingales with values in uniformly convex spaces	1975	Gilles Pisier	2
+ PDF Chat	Regularity of Hamilton-Jacobi equations when forward is backward	1999	E. N. Barron Piermarco Cannarsa R. Jensen Carlo Sinestrari	2
+	Whitney's Problem on Extendability of Functions and an Intrinsic Metric	1998	Nahum Zobin	2
+ PDF Chat	A general theorem of existence of quasi absolutely minimal Lipschitz extensions	2014	Matthew Hirn Erwan Y. Le Gruyer	2
+	A constructive proof of Kirszbraun’s theorem	2008	Arseniy Akopyan Aleksey S�rgeevich Tarasov	2
+	Differentiable Functions Defined in Closed Sets. I	1992	Hassler Whitney	2
+	A remark on regularization in Hilbert spaces	1986	Jean‐Michel Lasry P. L. Lions	2
+ PDF Chat	The kernel average for two convex functions and its application to the extension and representation of monotone operators	2009	Heinz H. Bauschke Xianfu Wang	2
+ PDF Chat	On the smoothness of convex envelopes	1990	Andreas Griewank Patrick J. Rabier	2
+ PDF Chat	Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality	2011	Heinz H. Bauschke Sarah M. Moffat Xianfu Wang	2
+ PDF Chat	Vector‐valued optimal Lipschitz extensions	2011	Scott Sheffield⋆ Charles K. Smart	2
+	Symbolic Fenchel Conjugation	2007	Jonathan M. Borwein Chris Hamilton	2
+	ABSOLUTELY MINIMIZING LIPSCHITZ EXTENSIONS ON A METRIC SPACE	2002	Petri Juutinen	2