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Journal of Convex Analysis 25 (2018), No. 4, [final page numbers not yet available]
Copyright Heldermann Verlag 2018



Generalized Takagi-Van der Waerden Functions and their Subdifferentials

Juan Ferrera
Dep. de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain
ferrera@mat.ucm.es

Javier Gómez Gil
Dep. de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain
gomezgil@mat.ucm.es



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.

Keywords: Van der Waerden function, Takagi function, subdifferential.

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