Superdifferential of the Takagi function

2019/06/24 by Juan Ferrera, Ferrera, Juan, Javier Gómez Gil +1
Mathematics · #26A24 #26A27 #49J52 #Advanced Banach Space Theory #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1906.10192

openalex publication_date 2019/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Takagi function is a classical example of a continuous nowhere differentiable function. It has empty subdifferential except in a countable set where its subdifferential is ℝ. In this paper we characterize its superdifferential.

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