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## Azagra, Daniel

Compute Distance To:
 Author ID: azagra.daniel Published as: Azagra, D.; Azagra, Daniel External Links: MGP · ORCID
 Documents Indexed: 56 Publications since 1996
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#### Co-Authors

 3 single-authored 15 Ferrera, Juan 10 Mudarra, Carlos 7 Fry, Robb Charles 7 Jiménez-Sevilla, Mar 5 Gomez Gil, Javier 4 Dobrowolski, Tadeusz 4 Keener, Lee L. 4 López-Mesas, Fernando 3 Deville, Robert 3 García-Bravo, Miguel 3 Jaramillo, Jesús Angel 3 Montesinos, Alejandro 2 Cepedello Boiso, Manuel 2 Gómez, Javier B. 2 Le Gruyer, Erwan Y. 2 Macià, Fabricio 2 Sanz, Beatriz 1 Fabian, Martin 1 Lovo, Mauricio 1 Muñoz-Fernández, Gustavo A. 1 Rangel, Yenny C. 1 Sánchez, Víctor M. 1 Seoane-Sepúlveda, Juan Benigno
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#### Serials

 8 Journal of Mathematical Analysis and Applications 6 Journal of Functional Analysis 3 Studia Mathematica 3 Canadian Mathematical Bulletin 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Extracta Mathematicae 2 Bulletin of the London Mathematical Society 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Calculus of Variations and Partial Differential Equations 2 Journal of Convex Analysis 2 Revista Matemática Complutense 2 The Quarterly Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Topology and its Applications 1 Set-Valued Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Analysis & PDE
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#### Fields

 33 Functional analysis (46-XX) 24 Global analysis, analysis on manifolds (58-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Real functions (26-XX) 10 Convex and discrete geometry (52-XX) 7 Operator theory (47-XX) 7 General topology (54-XX) 4 Differential geometry (53-XX) 3 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 2 Approximations and expansions (41-XX) 1 Measure and integration (28-XX)

#### 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
2005
Smooth approximation of Lipschitz functions on Riemannian manifolds. Zbl 1116.49011
Azagra, D.; Ferrera, J.; López-Mesas, F.; Rangel, Y.
2007
Proximal calculus on Riemannian manifolds. Zbl 1167.49307
Azagra, Daniel; Ferrera, Juan
2005
Viscosity solutions to second order partial differential equations on Riemannian manifolds. Zbl 1235.49058
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
2008
Global and fine approximation of convex functions. Zbl 1282.41008
Azagra, Daniel
2013
Whitney extension theorems for convex functions of the classes $$C^1$$ and $$C^{1\omega}$$. Zbl 1379.54014
Azagra, Daniel; Mudarra, Carlos
2017
The failure of Rolle’s theorem in infinite-dimensional Banach spaces. Zbl 0995.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2001
Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications. Zbl 0917.46007
Azagra, D.; Dobrowolski, T.
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.
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
2005
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
2001
Applications of proximal calculus to fixed point theory on Riemannian manifolds. Zbl 1131.58006
Azagra, Daniel; Ferrera, Juan
2007
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces. Zbl 0899.58007
Azagra, Daniel
1997
Rolle’s theorem and negligibility of points in infinite dimensional Banach spaces. Zbl 0897.46027
Azagra, D.; Gómez, J.; Jaramillo, J. A.
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.
2015
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
2003
Every closed convex set is the set of minimizers of some $$C^{\infty}$$-smooth convex function. Zbl 1028.49003
Azagra, Daniel; Ferrera, Juan
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.
2018
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds. Zbl 1148.53048
Azagra, D.; Jiménez-Sevilla, M.; Macià, F.
2008
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds. Zbl 1060.57015
Azagra, Daniel; Cepedello Boiso, Manuel
2004
Concentration of symmetric eigenfunctions. Zbl 1193.58016
Azagra, Daniel; Macià, Fabricio
2010
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature. Zbl 1126.53022
Azagra, Daniel; Ferrera, Juan
2006
Starlike bodies and deleting diffeomorphisms in Banach spaces. Zbl 1079.46051
Azagra, Daniel; Montesinos, Alejandro
2004
Global geometry and $$C^1$$ convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
2019
An extension theorem for convex functions of class $$C^{1,1}$$ on Hilbert spaces. Zbl 1364.26017
Azagra, Daniel; Mudarra, Carlos
2017
Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces. Zbl 1248.46052
Azagra, D.; Fry, R.; Keener, L.
2012
Approximation by smooth functions with no critical points on separable Banach spaces. Zbl 1126.46031
Azagra, D.; Jiménez-Sevilla, M.
2007
Exact filling of figures with the derivatives of smooth mappings between Banach spaces. Zbl 1109.46041
Azagra, D.; Fabian, M.; Jiménez-Sevilla, M.
2005
Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces. Zbl 1032.46097
Azagra, Daniel; Cepedello Boiso, Manuel
2001
The Morse-Sard theorem revisited. Zbl 1400.58012
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
2018
Smooth extensions of functions on separable Banach spaces. Zbl 1193.46025
Azagra, D.; Fry, R.; Keener, L.
2010
Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces. Zbl 1060.46060
Azagra, Daniel; Fry, Robb; Montesinos, Alejandro
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
2002
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
1997
Global approximation of convex functions by differentiable convex functions on Banach spaces. Zbl 1347.46011
Azagra, Daniel; Mudarra, Carlos
2016
A second order smooth variational principle on Riemannian manifolds. Zbl 1187.58023
Azagra, Daniel; Fry, Robb
2010
A maximum principle for evolution Hamilton – Jacobi equations on Riemannian manifolds. Zbl 1108.58015
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2006
On the topological classification of starlike bodies in Banach spaces. Zbl 1031.52001
2003
Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient. Zbl 1034.46040
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2003
Geometrical and topological properties of bumps and starlike bodies in Banach spaces. Zbl 1028.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2002
Nonsmooth Morse-Sard theorems. Zbl 1372.49021
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
2017
Approximation of functions and their derivatives by analytic maps on certain Banach spaces. Zbl 1236.46069
Azagra, D.; Fry, R.; Keener, L.
2011
Erratum to: Smooth extensions of functions on separable Banach spaces. Zbl 1228.46040
Azagra, D.; Fry, R.; Keener, L.
2011
Fixed points and zeros for set valued mappings on Riemannian manifolds: a subdifferential approach. Zbl 1161.49010
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
2008
Global geometry and $$C^1$$ convex extensions of 1-jets. Zbl 1403.26009
Azagra, Daniel; Mudarra, Carlos
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.
2018
The Morse-Sard theorem revisited. Zbl 1400.58012
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
2018
Whitney extension theorems for convex functions of the classes $$C^1$$ and $$C^{1\omega}$$. Zbl 1379.54014
Azagra, Daniel; Mudarra, Carlos
2017
An extension theorem for convex functions of class $$C^{1,1}$$ on Hilbert spaces. Zbl 1364.26017
Azagra, Daniel; Mudarra, Carlos
2017
Nonsmooth Morse-Sard theorems. Zbl 1372.49021
Azagra, D.; Ferrera, J.; Gómez-Gil, J.
2017
Global approximation of convex functions by differentiable convex functions on Banach spaces. Zbl 1347.46011
Azagra, Daniel; Mudarra, Carlos
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.
2015
Global and fine approximation of convex functions. Zbl 1282.41008
Azagra, Daniel
2013
Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces. Zbl 1248.46052
Azagra, D.; Fry, R.; Keener, L.
2012
Approximation of functions and their derivatives by analytic maps on certain Banach spaces. Zbl 1236.46069
Azagra, D.; Fry, R.; Keener, L.
2011
Erratum to: Smooth extensions of functions on separable Banach spaces. Zbl 1228.46040
Azagra, D.; Fry, R.; Keener, L.
2011
Concentration of symmetric eigenfunctions. Zbl 1193.58016
Azagra, Daniel; Macià, Fabricio
2010
Smooth extensions of functions on separable Banach spaces. Zbl 1193.46025
Azagra, D.; Fry, R.; Keener, L.
2010
A second order smooth variational principle on Riemannian manifolds. Zbl 1187.58023
Azagra, Daniel; Fry, Robb
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.
2009
Viscosity solutions to second order partial differential equations on Riemannian manifolds. Zbl 1235.49058
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
2008
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds. Zbl 1148.53048
Azagra, D.; Jiménez-Sevilla, M.; Macià, F.
2008
Fixed points and zeros for set valued mappings on Riemannian manifolds: a subdifferential approach. Zbl 1161.49010
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
2008
Smooth approximation of Lipschitz functions on Riemannian manifolds. Zbl 1116.49011
Azagra, D.; Ferrera, J.; López-Mesas, F.; Rangel, Y.
2007
Applications of proximal calculus to fixed point theory on Riemannian manifolds. Zbl 1131.58006
Azagra, Daniel; Ferrera, Juan
2007
Approximation by smooth functions with no critical points on separable Banach spaces. Zbl 1126.46031
Azagra, D.; Jiménez-Sevilla, M.
2007
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature. Zbl 1126.53022
Azagra, Daniel; Ferrera, Juan
2006
A maximum principle for evolution Hamilton – Jacobi equations on Riemannian manifolds. Zbl 1108.58015
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2006
Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds. Zbl 1067.49010
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2005
Proximal calculus on Riemannian manifolds. Zbl 1167.49307
Azagra, Daniel; Ferrera, Juan
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
2005
Exact filling of figures with the derivatives of smooth mappings between Banach spaces. Zbl 1109.46041
Azagra, D.; Fabian, M.; Jiménez-Sevilla, M.
2005
Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces. Zbl 1060.46060
Azagra, Daniel; Fry, Robb; Montesinos, Alejandro
2005
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds. Zbl 1060.57015
Azagra, Daniel; Cepedello Boiso, Manuel
2004
Starlike bodies and deleting diffeomorphisms in Banach spaces. Zbl 1079.46051
Azagra, Daniel; Montesinos, Alejandro
2004
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
2003
On the topological classification of starlike bodies in Banach spaces. Zbl 1031.52001
2003
Approximate Rolle’s theorems for the proximal subgradient and the generalized gradient. Zbl 1034.46040
Azagra, Daniel; Ferrera, Juan; López-Mesas, Fernando
2003
Every closed convex set is the set of minimizers of some $$C^{\infty}$$-smooth convex function. Zbl 1028.49003
Azagra, Daniel; Ferrera, Juan
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
2002
Geometrical and topological properties of bumps and starlike bodies in Banach spaces. Zbl 1028.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2002
The failure of Rolle’s theorem in infinite-dimensional Banach spaces. Zbl 0995.46025
Azagra, Daniel; Jiménez-Sevilla, Mar
2001
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
2001
Smooth Lipschitz retractions of starlike bodies onto their boundaries in infinite-dimensional Banach spaces. Zbl 1032.46097
Azagra, Daniel; Cepedello Boiso, Manuel
2001
Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications. Zbl 0917.46007
Azagra, D.; Dobrowolski, T.
1998
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces. Zbl 0899.58007
Azagra, Daniel
1997
Rolle’s theorem and negligibility of points in infinite dimensional Banach spaces. Zbl 0897.46027
Azagra, D.; Gómez, J.; Jaramillo, J. A.
1997
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
1997
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#### 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
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#### 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
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#### 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)