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Azagra, Daniel

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Author ID: azagra.daniel Recent zbMATH articles by "Azagra, Daniel"
Published as: Azagra, D.; Azagra, Daniel
External Links: MGP · ORCID
Documents Indexed: 56 Publications since 1996

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 353 times in 216 Documents Cited by Year
Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds. Zbl 1067.49010
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
72
2005
Smooth approximation of Lipschitz functions on Riemannian manifolds. Zbl 1116.49011
Azagra, D.; Ferrera, J.; López-Mesas, F.; Rangel, Y.
25
2007
Proximal calculus on Riemannian manifolds. Zbl 1167.49307
Azagra, Daniel; Ferrera, Juan
23
2005
Viscosity solutions to second order partial differential equations on Riemannian manifolds. Zbl 1235.49058
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
22
2008
Global and fine approximation of convex functions. Zbl 1282.41008
Azagra, Daniel
13
2013
Whitney extension theorems for convex functions of the classes \(C^1\) and \(C^{1\omega}\). Zbl 1379.54014
Azagra, Daniel; Mudarra, Carlos
11
2017
The failure of Rolle’s theorem in infinite-dimensional Banach spaces. Zbl 0995.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
11
2001
Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications. Zbl 0917.46007
Azagra, D.; Dobrowolski, T.
11
1998
Riemann integrability and Lebesgue measurability of the composite function. Zbl 1171.26005
Azagra, D.; Muñoz-Fernández, G. A.; Sánchez, V. M.; Seoane-Sepúlveda, J. B.
10
2009
\(C^1\)-fine approximation of functions on Banach spaces with unconditional basis. Zbl 1102.41030
Azagra, Daniel; Gómez-Gil, Javier; Jaramillo, Jesús A.; Lovo, Mauricio; Fry, Robb
10
2005
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
10
2001
Applications of proximal calculus to fixed point theory on Riemannian manifolds. Zbl 1131.58006
Azagra, Daniel; Ferrera, Juan
9
2007
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces. Zbl 0899.58007
Azagra, Daniel
9
1997
Rolle’s theorem and negligibility of points in infinite dimensional Banach spaces. Zbl 0897.46027
Azagra, D.; Gómez, J.; Jaramillo, J. A.
8
1997
Regularization by sup-inf convolutions on Riemannian manifolds: an extension of Lasry-Lions theorem to manifolds of bounded curvature. Zbl 1303.53049
Azagra, D.; Ferrera, J.
7
2015
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
7
2003
Every closed convex set is the set of minimizers of some \(C^{\infty}\)-smooth convex function. Zbl 1028.49003
Azagra, Daniel; Ferrera, Juan
7
2002
Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces. Zbl 1393.58006
Azagra, D.; Le Gruyer, E.; Mudarra, C.
6
2018
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds. Zbl 1148.53048
Azagra, D.; Jiménez-Sevilla, M.; Macià, F.
6
2008
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds. Zbl 1060.57015
Azagra, Daniel; Cepedello Boiso, Manuel
6
2004
Concentration of symmetric eigenfunctions. Zbl 1193.58016
Azagra, Daniel; Macià, Fabricio
5
2010
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature. Zbl 1126.53022
Azagra, Daniel; Ferrera, Juan
5
2006
Starlike bodies and deleting diffeomorphisms in Banach spaces. Zbl 1079.46051
Azagra, Daniel; Montesinos, Alejandro
5
2004
Global geometry and \(C^1\) convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
4
2019
An extension theorem for convex functions of class \(C^{1,1}\) on Hilbert spaces. Zbl 1364.26017
Azagra, Daniel; Mudarra, Carlos
4
2017
Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces. Zbl 1248.46052
Azagra, D.; Fry, R.; Keener, L.
4
2012
Approximation by smooth functions with no critical points on separable Banach spaces. Zbl 1126.46031
Azagra, D.; Jiménez-Sevilla, M.
4
2007
Exact filling of figures with the derivatives of smooth mappings between Banach spaces. Zbl 1109.46041
Azagra, D.; Fabian, M.; Jiménez-Sevilla, M.
4
2005
Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces. Zbl 1032.46097
Azagra, Daniel; Cepedello Boiso, Manuel
4
2001
The Morse-Sard theorem revisited. Zbl 1400.58012
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
3
2018
Smooth extensions of functions on separable Banach spaces. Zbl 1193.46025
Azagra, D.; Fry, R.; Keener, L.
3
2010
Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces. Zbl 1060.46060
Azagra, Daniel; Fry, Robb; Montesinos, Alejandro
3
2005
On the size of the sets of gradients of bump functions and starlike bodies on the Hilbert space. Zbl 1034.46016
Azagra, Daniel; Jiménez-Sevilla, Mar
3
2002
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
3
1997
Global approximation of convex functions by differentiable convex functions on Banach spaces. Zbl 1347.46011
Azagra, Daniel; Mudarra, Carlos
2
2016
A second order smooth variational principle on Riemannian manifolds. Zbl 1187.58023
Azagra, Daniel; Fry, Robb
2
2010
A maximum principle for evolution Hamilton – Jacobi equations on Riemannian manifolds. Zbl 1108.58015
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2
2006
On the topological classification of starlike bodies in Banach spaces. Zbl 1031.52001
Azagra, Daniel; Dobrowolski, Tadeusz
2
2003
Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient. Zbl 1034.46040
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2
2003
Geometrical and topological properties of bumps and starlike bodies in Banach spaces. Zbl 1028.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2
2002
Nonsmooth Morse-Sard theorems. Zbl 1372.49021
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
1
2017
Approximation of functions and their derivatives by analytic maps on certain Banach spaces. Zbl 1236.46069
Azagra, D.; Fry, R.; Keener, L.
1
2011
Erratum to: Smooth extensions of functions on separable Banach spaces. Zbl 1228.46040
Azagra, D.; Fry, R.; Keener, L.
1
2011
Fixed points and zeros for set valued mappings on Riemannian manifolds: a subdifferential approach. Zbl 1161.49010
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
1
2008
Global geometry and \(C^1\) convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
4
2019
Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces. Zbl 1393.58006
Azagra, D.; Le Gruyer, E.; Mudarra, C.
6
2018
The Morse-Sard theorem revisited. Zbl 1400.58012
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
3
2018
Whitney extension theorems for convex functions of the classes \(C^1\) and \(C^{1\omega}\). Zbl 1379.54014
Azagra, Daniel; Mudarra, Carlos
11
2017
An extension theorem for convex functions of class \(C^{1,1}\) on Hilbert spaces. Zbl 1364.26017
Azagra, Daniel; Mudarra, Carlos
4
2017
Nonsmooth Morse-Sard theorems. Zbl 1372.49021
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
1
2017
Global approximation of convex functions by differentiable convex functions on Banach spaces. Zbl 1347.46011
Azagra, Daniel; Mudarra, Carlos
2
2016
Regularization by sup-inf convolutions on Riemannian manifolds: an extension of Lasry-Lions theorem to manifolds of bounded curvature. Zbl 1303.53049
Azagra, D.; Ferrera, J.
7
2015
Global and fine approximation of convex functions. Zbl 1282.41008
Azagra, Daniel
13
2013
Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces. Zbl 1248.46052
Azagra, D.; Fry, R.; Keener, L.
4
2012
Approximation of functions and their derivatives by analytic maps on certain Banach spaces. Zbl 1236.46069
Azagra, D.; Fry, R.; Keener, L.
1
2011
Erratum to: Smooth extensions of functions on separable Banach spaces. Zbl 1228.46040
Azagra, D.; Fry, R.; Keener, L.
1
2011
Concentration of symmetric eigenfunctions. Zbl 1193.58016
Azagra, Daniel; Macià, Fabricio
5
2010
Smooth extensions of functions on separable Banach spaces. Zbl 1193.46025
Azagra, D.; Fry, R.; Keener, L.
3
2010
A second order smooth variational principle on Riemannian manifolds. Zbl 1187.58023
Azagra, Daniel; Fry, Robb
2
2010
Riemann integrability and Lebesgue measurability of the composite function. Zbl 1171.26005
Azagra, D.; Muñoz-Fernández, G. A.; Sánchez, V. M.; Seoane-Sepúlveda, J. B.
10
2009
Viscosity solutions to second order partial differential equations on Riemannian manifolds. Zbl 1235.49058
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
22
2008
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds. Zbl 1148.53048
Azagra, D.; Jiménez-Sevilla, M.; Macià, F.
6
2008
Fixed points and zeros for set valued mappings on Riemannian manifolds: a subdifferential approach. Zbl 1161.49010
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
1
2008
Smooth approximation of Lipschitz functions on Riemannian manifolds. Zbl 1116.49011
Azagra, D.; Ferrera, J.; López-Mesas, F.; Rangel, Y.
25
2007
Applications of proximal calculus to fixed point theory on Riemannian manifolds. Zbl 1131.58006
Azagra, Daniel; Ferrera, Juan
9
2007
Approximation by smooth functions with no critical points on separable Banach spaces. Zbl 1126.46031
Azagra, D.; Jiménez-Sevilla, M.
4
2007
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature. Zbl 1126.53022
Azagra, Daniel; Ferrera, Juan
5
2006
A maximum principle for evolution Hamilton – Jacobi equations on Riemannian manifolds. Zbl 1108.58015
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2
2006
Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds. Zbl 1067.49010
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
72
2005
Proximal calculus on Riemannian manifolds. Zbl 1167.49307
Azagra, Daniel; Ferrera, Juan
23
2005
\(C^1\)-fine approximation of functions on Banach spaces with unconditional basis. Zbl 1102.41030
Azagra, Daniel; Gómez-Gil, Javier; Jaramillo, Jesús A.; Lovo, Mauricio; Fry, Robb
10
2005
Exact filling of figures with the derivatives of smooth mappings between Banach spaces. Zbl 1109.46041
Azagra, D.; Fabian, M.; Jiménez-Sevilla, M.
4
2005
Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces. Zbl 1060.46060
Azagra, Daniel; Fry, Robb; Montesinos, Alejandro
3
2005
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds. Zbl 1060.57015
Azagra, Daniel; Cepedello Boiso, Manuel
6
2004
Starlike bodies and deleting diffeomorphisms in Banach spaces. Zbl 1079.46051
Azagra, Daniel; Montesinos, Alejandro
5
2004
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
7
2003
On the topological classification of starlike bodies in Banach spaces. Zbl 1031.52001
Azagra, Daniel; Dobrowolski, Tadeusz
2
2003
Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient. Zbl 1034.46040
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2
2003
Every closed convex set is the set of minimizers of some \(C^{\infty}\)-smooth convex function. Zbl 1028.49003
Azagra, Daniel; Ferrera, Juan
7
2002
On the size of the sets of gradients of bump functions and starlike bodies on the Hilbert space. Zbl 1034.46016
Azagra, Daniel; Jiménez-Sevilla, Mar
3
2002
Geometrical and topological properties of bumps and starlike bodies in Banach spaces. Zbl 1028.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2
2002
The failure of Rolle’s theorem in infinite-dimensional Banach spaces. Zbl 0995.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
11
2001
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
10
2001
Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces. Zbl 1032.46097
Azagra, Daniel; Cepedello Boiso, Manuel
4
2001
Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications. Zbl 0917.46007
Azagra, D.; Dobrowolski, T.
11
1998
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces. Zbl 0899.58007
Azagra, Daniel
9
1997
Rolle’s theorem and negligibility of points in infinite dimensional Banach spaces. Zbl 0897.46027
Azagra, D.; Gómez, J.; Jaramillo, J. A.
8
1997
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
3
1997
all top 5

Cited by 266 Authors

28 Azagra, Daniel
11 Ferrera, Juan
11 Pouryayevali, Mohamad Reza
9 Jiménez-Sevilla, Mar
8 Mudarra, Carlos
7 Hájek, Petr
7 Hosseini, Seyedehsomayeh
6 Ferreira, Orizon Pereira
6 Fry, Robb Charles
6 Seoane-Sepúlveda, Juan Benigno
6 Wang, Jinhua
5 Deville, Robert
5 Huang, Nan-Jing
5 Li, Chong
5 López Acedo, Genaro
5 Macià, Fabricio
5 Sánchez-González, Luis
5 Yao, Jen-Chih
4 Barani, Amir
4 Bento, Glaydston C.
4 Jaramillo, Jesús Angel
4 Kim, Soojung
4 López-Mesas, Fernando
4 Noor, Muhammad Aslam
4 Oliveira, Paulo Roberto
3 Chen, Shenglan
3 García-Bravo, Miguel
3 Gomez Gil, Javier
3 Le Gruyer, Erwan Y.
3 Li, Xiaobo
3 Muñoz-Fernández, Gustavo A.
3 Noor, Khalida Inayat
3 Radmanesh, Hajar
3 Rodriguez-Vidanes, Daniel L.
3 Weinmann, Andreas
3 Zeriahi, Ahmed
3 Zhu, Xuehong
2 Ahmad, Izhar
2 Barani, Ahmad
2 Bernal-Gonzàlez, Luis
2 Bruveris, Martins
2 Chachuat, Benoît
2 Dobrowolski, Tadeusz
2 Eyssidieux, Philippe
2 Fernández-Sánchez, Juan
2 Ferrer, Jesús
2 Fischer, Andreas
2 Guedj, Vincent
2 Gutú, Olivia
2 Holler, Martin
2 Houska, Boris
2 Johanis, Michal
2 Keener, Lee L.
2 Kolář, Jan
2 Kristály, Alexandru
2 Martín-Márquez, Victoria
2 McIntosh, Alan
2 Mondal, Chandan Kumar
2 Morris, Andrew Joel
2 Musin, Il’dar Khamitovich
2 Punzo, Fabio
2 Rangel, Yenny C.
2 Rivière, Gabriel
2 Sama, Miguel
2 Sánchez, Víctor M.
2 Sanz, Beatriz
2 Shaikh, Absos Ali
2 Storath, Martin
2 Trutschnig, Wolfgang
2 Vialard, François-Xavier
2 Villanueva, Mario Eduardo
2 Vivi, Paola
2 Zhou, Liwen
1 Abbondandolo, Alberto
1 Agarwal, Ravi P.
1 Anantharaman, Nalini
1 Arnaiz, Víctor
1 Asserda, Saïd
1 Bačák, Miroslav
1 Bachir, Mohammed
1 Ballmann, Hans Werner
1 Barani, Ali
1 Bartoszewicz, Artur
1 Bauer, Martin
1 Belegradek, Igor
1 Bergmann, Ronny
1 Berndtsson, Bo
1 Bernicot, Frédéric
1 Bienias, Marek
1 Bögelein, Verena
1 Borwein, Jonathan Michael
1 Bredies, Kristian
1 Cabana-Méndez, H. J.
1 Carbonaro, Andrea
1 Castillo, Jesús M. F.
1 Ceng, Lu-Chuan
1 Cepedello Boiso, Manuel
1 Chen, Min
1 Chen, Sheng
1 Cho, Dong Hoon
...and 166 more Authors
all top 5

Cited in 86 Serials

33 Journal of Mathematical Analysis and Applications
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Optimization Theory and Applications
11 Proceedings of the American Mathematical Society
10 Journal of Functional Analysis
6 Optimization
5 Mathematische Annalen
4 Journal of Global Optimization
4 SIAM Journal on Optimization
4 Journal of Convex Analysis
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Israel Journal of Mathematics
3 Journal of Differential Equations
3 The Journal of Geometric Analysis
3 Calculus of Variations and Partial Differential Equations
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Applied Mathematics
3 Mediterranean Journal of Mathematics
3 Optimization Letters
3 SIAM Journal on Imaging Sciences
3 Set-Valued and Variational Analysis
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Communications in Mathematical Physics
2 Canadian Mathematical Bulletin
2 Systems & Control Letters
2 Revista Matemática Complutense
2 Open Mathematics
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Nonlinearity
1 Studia Mathematica
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Operations Research Letters
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Revista Matemática Iberoamericana
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Set-Valued Analysis
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 Electronic Communications in Probability
1 Mathematical Problems in Engineering
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Matematicheskie Trudy
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Miscelánea Matemática
1 Journal of the Australian Mathematical Society
1 Central European Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Journal of Function Spaces and Applications
1 Computational Management Science
1 Oberwolfach Reports
1 Banach Journal of Mathematical Analysis
1 Analysis & PDE
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Transactions of the London Mathematical Society
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
all top 5

Cited in 41 Fields

76 Global analysis, analysis on manifolds (58-XX)
61 Calculus of variations and optimal control; optimization (49-XX)
51 Functional analysis (46-XX)
37 Real functions (26-XX)
34 Partial differential equations (35-XX)
32 Operations research, mathematical programming (90-XX)
27 Differential geometry (53-XX)
19 Operator theory (47-XX)
13 General topology (54-XX)
12 Numerical analysis (65-XX)
10 Systems theory; control (93-XX)
9 Convex and discrete geometry (52-XX)
8 Ordinary differential equations (34-XX)
8 Probability theory and stochastic processes (60-XX)
7 Several complex variables and analytic spaces (32-XX)
5 Approximations and expansions (41-XX)
5 Manifolds and cell complexes (57-XX)
4 Mathematical logic and foundations (03-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Quantum theory (81-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Computer science (68-XX)
2 Algebraic geometry (14-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 \(K\)-theory (19-XX)
1 Geometry (51-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year