Characteristic functions and products of bounded derivatives

Maliszewski, Aleksander

doi:10.1090/S0002-9939-1995-1246531-4

Characteristic functions and products of bounded derivatives
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by Aleksander Maliszewski

Proc. Amer. Math. Soc. 123 (1995), 2203-2211

DOI: https://doi.org/10.1090/S0002-9939-1995-1246531-4

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Abstract:

This article is dedicated to the answer to the following question: "Which characteristic functions can be expressed as the product of two or more bounded derivatives?".

References

Andrew M. Bruckner, Differentiation of real functions, Lecture Notes in Mathematics, vol. 659, Springer, Berlin, 1978. MR 507448, DOI 10.1007/BFb0069821
Casper Goffman, C. J. Neugebauer, and T. Nishiura, Density topology and approximate continuity, Duke Math. J. 28 (1961), 497–505. MR 137805
Casimir Kuratowski, Topologie. Vol. I, Monografie Matematyczne, Tom 20, Państwowe Wydawnictwo Naukowe, Warsaw, 1958 (French). 4ème éd. MR 0090795
Jan Mařík, Characteristic functions and products of derivatives, Real Anal. Exchange 16 (1990/91), no. 1, 245–254. MR 1087488, DOI 10.2307/44153693
G. Petruska and M. Laczkovich, Baire $1$ functions, approximately continuous functions and derivatives, Acta Math. Acad. Sci. Hungar. 25 (1974), 189–212. MR 379766, DOI 10.1007/BF01901760
Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1–54 (French). MR 37338, DOI 10.1090/S0002-9947-1950-0037338-9