Geodesic
Generalized Takagi-Van der Waerden Functions and their Subdifferentials
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1355-1369
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We prove that for every countable dense subset D of a separable Hilbert space H there exists a continuous function with empty subdifferential at every point x outside D, meanwhile for every x in D the subdifferential at x is the whole space H.
Classification : 26A27, 49J52
Mots-clés : Van der Waerden function, Takagi function, subdifferential 
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     author = {J. Ferrera and J. G\'omez Gil},
     title = {Generalized {Takagi-Van} der {Waerden} {Functions} and their {Subdifferentials}},
     journal = {Journal of convex analysis},
     pages = {1355--1369},
     year = {2018},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a15/}
}
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J. Ferrera; J. Gómez Gil. Generalized Takagi-Van der Waerden Functions and their Subdifferentials. Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1355-1369. http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a15/