General theory of differentiation of functions and measures studied at the Charles University. (Czech) Zbl 1055.01022

Zajíček, Luděk

Pokroky Mat. Fyz. Astron. 45, No. 3, 188-207 (2000).

Investigation of differentiation theory at the Department of Mathematical Analysis of the Faculty of Mathematics and Physics of Charles University in Prague started with late V. Jarník [see D. Preiss, The work of Professor Jarník in Real Analysis. In collection: Life and work of Vojtěch Jarník, B. Novák (ed.), Prometheus, Prague, 55-66 (1999)] and became there a traditional topic. The author presents a comprehensive survey of various directions of this investigation and of important contributions of the members of the department to the theory. The paper was published on the occasion of the World Mathematical Year 2000.

Reviewer: Jiří Rákosník (Praha)

MSC:

01A73	History of mathematics at specific universities
26-03	History of real functions
26A24	Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26A27	Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A30	Singular functions, Cantor functions, functions with other special properties
26B05	Continuity and differentiation questions

Keywords:

differentiation of functions; differentiation of measures