Preiss, David Algebra generated by derivatives. (English) Zbl 0534.26004 Real Anal. Exch. 8, 208-216 (1983). The following remarkable and deep result is proven: Whenever u:\(R\to R\) is a Baire 1 function there exist functions f, g, and h having a finite derivative everywhere such that \(u=f'+g'h'.\) Moreover, g’ may be taken to be bounded and f’ to be a Lebesgue function. Also if u is bounded f’, g’ and h’ can be taken to be bounded. Reviewer: J.G.Ceder Cited in 2 Documents MSC: 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 26A21 Classification of real functions; Baire classification of sets and functions Keywords:characterization of the algebra generated by derivatives; Baire class 1 function; Lebesgue function PDFBibTeX XMLCite \textit{D. Preiss}, Real Anal. Exch. 8, 208--216 (1983; Zbl 0534.26004)