Publicaciones (61) Publicaciones de DANIEL AZAGRA RUEDA

2024

  1. C2-Lusin approximation of strongly convex functions

    Inventiones Mathematicae

2023

  1. A GEOMETRIC APPROACH TO SECOND-ORDER DIFFERENTIABILITY OF CONVEX FUNCTIONS

    Proceedings of the American Mathematical Society, Series B, Vol. 10, pp. 382-397

  2. Inner and outer smooth approximation of convex hypersurfaces. When is it possible?

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 230

2022

  1. Locally C1,1 convex extensions of 1-jets

    Revista matemática iberoamericana, Vol. 38, Núm. 1, pp. 131-174

2021

  1. C1,ω extension formulas for 1-jets on Hilbert spaces

    Advances in Mathematics, Vol. 389

  2. Kirszbraun's Theorem via an Explicit Formula

    Canadian Mathematical Bulletin, Vol. 64, Núm. 1, pp. 142-153

  3. Lusin-Type Properties of Convex Functions and Convex Bodies

    Journal of Geometric Analysis, Vol. 31, Núm. 12, pp. 11685-11701

2020

  1. Convex C1 extensions of 1-jets from compact subsets of Hilbert spaces

    Comptes Rendus Mathematique, Vol. 358, Núm. 5, pp. 551-556

  2. On the global shape of continuous convex functions on Banach spaces

    Journal of Mathematical Analysis and Applications, Vol. 486, Núm. 2

  3. Some remarks about the Morse–Sard theorem and approximate differentiability

    Revista matemática complutense, Vol. 33, Núm. 1, pp. 161-185

2019

  1. Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

    Advances in Mathematics, Vol. 354

  2. Smooth convex extensions of convex functions

    Calculus of Variations and Partial Differential Equations, Vol. 58, Núm. 3

2018

  1. Explicit formulas for C1,1 and Cconv 1,ω extensions of 1-jets in Hilbert and superreflexive spaces

    Journal of Functional Analysis, Vol. 274, Núm. 10, pp. 3003-3032

  2. Global geometry and C1 convex extensions Of 1-jets

    Analysis and PDE, Vol. 12, Núm. 4, pp. 1065-1099

  3. Subdifferentiable functions satisfy Lusin properties of class C1 or C2

    Journal of Approximation Theory, Vol. 230, pp. 1-12

  4. The Morse-Sard Theorem revisited

    Quarterly Journal of Mathematics, Vol. 69, Núm. 3, pp. 887-913

2017

  1. An Extension Theorem for convex functions of class C1,1 on Hilbert spaces

    Journal of Mathematical Analysis and Applications, Vol. 446, Núm. 2, pp. 1167-1182

  2. Nonsmooth Morse–Sard theorems

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 160, pp. 53-69

  3. Whitney extension theorems for convex functions of the classes C1 and C1ω

    Proceedings of the London Mathematical Society, Vol. 114, Núm. 1, pp. 133-158

2015

  1. Global approximation of convex functions by differentiable convex functions on banach spaces

    Journal of Convex Analysis, Vol. 22, Núm. 4, pp. 1197-1205