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

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.


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