On the extension of interval functions
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- by Lawrence A. Ringenberg PDF
- Trans. Amer. Math. Soc. 61 (1947), 134-146 Request permission
References
-
S. Banach, Sur une classe de fonctions d’ensemble, Fund. Math. vol. 6 (1924) pp. 170-188.
J. C. Burkill, Functions of intervals, Proc. London Math. Soc. (2) vol. 22 (1923) pp. 275-310.
E. W. Hobson, Theory of functions of a real variable, vol. 1, Cambridge, 1927.
E. Kamke, Das Lebesguesche Integral, Berlin, 1925.
S. Kempisty, Fonctions d’intervalle non additives, Actualités Scientifiques et Industrielles, no. 824, Paris, 1939.
—, Sur les fonctions absolument continues d’intervalle, Fund. Math. vol. 27 (1936) pp. 10-37.
H. Kestelman, Modern theories of integration, Oxford, 1937.
- Alfred J. Maria, Functions of plurisegments, Trans. Amer. Math. Soc. 28 (1926), no. 3, 448–471. MR 1501358, DOI 10.1090/S0002-9947-1926-1501358-1 J. Radon, Theorie und Anwendungen der absolut-additiven Mengenfunktionen, Sitzungsberichte der mathematisch-naturwissenschaftlichen Klasse der Kaiserlichen Akademie der Wissenschaften vol. 122 (1913) pp. 1295-1438.
- P. Reichelderfer and L. Ringenberg, The extension of rectangle functions, Duke Math. J. 8 (1941), 231–242. MR 4876 S. Saks, Sur les fonctions d’intervalle, Fund. Math. vol. 10 (1927) pp. 211-224. —, Theory of the integral, Warsaw, 1937. C. de la Vallée-Poussin, Integrales de Lesbesgue, Fonctions d’Ensemble, Classes de Baire, 2d ed., Paris, 1934.
Additional Information
- © Copyright 1947 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 61 (1947), 134-146
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9947-1947-0018715-9
- MathSciNet review: 0018715