Stationary sets and determining sets for certain classes of Darboux functions
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- by A. M. Bruckner and John L. Leonard
- Proc. Amer. Math. Soc. 16 (1965), 935-940
- DOI: https://doi.org/10.1090/S0002-9939-1965-0183827-2
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References
- Nicu Boboc and Solomon Marcus, Sur la détermination d’une fonction par les valeurs prises sur un certain ensemble, Ann. Sci. École Norm. Sup. (3) 76 (1959), no. 2, 151–159 (French). MR 1509380
- A. M. Bruckner, Stationary sets for certain classes of derivates of Darboux functions, Michigan Math. J. 11 (1964), 305–309. MR 168709
- H. T. Croft, A note on a Darboux continuous function, J. London Math. Soc. 38 (1963), 9–10. MR 147588, DOI 10.1112/jlms/s1-38.1.9
- Casper Goffman, Real functions, Rinehart & Co., Inc., New York, N. Y., 1953. MR 0054006
- Solomon Marcus, Les ensembles stationaires de certaines classes de fonctions, C. R. Acad. Sci. Paris 254 (1962), 1186–1188 (French). MR 132132
- Solomon Marcus, Sur une généralisation de la notion de quasi-analyticité, C. R. Acad. Sci. Paris 254 (1962), 985–987 (French). MR 145022
- Solomon Marcus, Les ensembles stationnaires de certaines classes de fonctions dérivées, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 32 (1962), 484–487 (French). MR 145023 —, Private communication dated July 2, 1964.
- Isaiah Maximoff, On continuous transformation of some functions into an ordinary derivative, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 12 (1943), 147–160 (1947). MR 23895 —, Sur les fonctions ayant la propriété de Darboux, Prace Math.-Fiz. 43 (1936), 241-265. I. Natanson, Theory of functions of a real variable, Vol. 2, Ungar, New York, 1960.
- C. J. Neugebauer, Darboux functions of Baire class one and derivatives, Proc. Amer. Math. Soc. 13 (1962), 838–843. MR 143850, DOI 10.1090/S0002-9939-1962-0143850-8
- 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
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 935-940
- MSC: Primary 26.30
- DOI: https://doi.org/10.1090/S0002-9939-1965-0183827-2
- MathSciNet review: 0183827