Some integral characterizations of absolute continuity
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- by William D. L. Appling
- Proc. Amer. Math. Soc. 18 (1967), 94-99
- DOI: https://doi.org/10.1090/S0002-9939-1967-0204607-7
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Addendum: Proc. Amer. Math. Soc. 24 (1970), 788-793.
References
- William D. L. Appling, Interval functions and Hellinger integral, Duke Math. J. 29 (1962), 515–520. MR 140659
- William D. L. Appling, Characterizations of some absolutely continuous additive set functions, Rend. Circ. Mat. Palermo (2) 12 (1963), 347–352. MR 169966, DOI 10.1007/BF02851267
- William D. L. Appling, Interval functions and absolute continuity, Illinois J. Math. 8 (1964), 439–445. MR 165065
- William D. L. Appling, A uniqueness characterization of absolute continuity, Monatsh. Math. 70 (1966), 97–105. MR 194576, DOI 10.1007/BF01297263 E. Hellinger, Die orthogonalinvarianten quadratischer Formen von unendlichvielen Variablen, Dissertation, Göttingen, 1907.
- A. Kolmogoroff, Untersuchungen über denIntegralbegriff, Math. Ann. 103 (1930), no. 1, 654–696 (German). MR 1512641, DOI 10.1007/BF01455714
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 94-99
- MSC: Primary 28.13
- DOI: https://doi.org/10.1090/S0002-9939-1967-0204607-7
- MathSciNet review: 0204607