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Hausdorff measure of Cantor sets. (Das Hausdorff-Maß von Cantormengen.) (German) Zbl 0207.06001

MSC:

11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
28A78 Hausdorff and packing measures
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References:

[1] Best, E.: On sets of fractional dimension III. Proc. London Math. Soc.47 (2), 436–454 (1942). · Zbl 0028.35102 · doi:10.1112/plms/s2-47.1.436
[2] Billingsley, P.: Hausdorff dimension in probability theory II. Ill. Journ. Math.5, 291–298 (1960). · Zbl 0098.10602
[3] Eggleston, H. G.: Sets of fractional dimension, which occur in some problems of number theory. Proc. London Math. Soc.54 (2), 42–93 (1951). · Zbl 0045.16603 · doi:10.1112/plms/s2-54.1.42
[4] Gierl, A.: Über das Hausdorffsche Maß gewisser Punktmengen in der Zifferntheorie. Journ. reine angew. Math.202, 183–195 (1959). · Zbl 0095.26405 · doi:10.1515/crll.1959.202.183
[5] Hausdorff, F.: Dimension und äußeres Maß. Math. Ann.79, 157–179 (1919). · JFM 46.0292.01 · doi:10.1007/BF01457179
[6] Kahane, J. P., Salem, R.: Ensembles parfaits et séries trigonométriques. Paris: Hermann 1963. · Zbl 0112.29304
[7] Steinfeld, L., Wegmann, H.: Die Dimension von Teilmengen eines Wahrscheinlichkeitsraumes. Math. Ann.184, 317–325 (1970). · Zbl 0184.07504 · doi:10.1007/BF01350860
[8] Volkmann, B.: Über die Hausdorffsche Dimension von Mengen, die durch Zifferneigenschaften charakterisiert sind (V). Math. Zeitschrift65, 389–413 (1956). · Zbl 0071.05303 · doi:10.1007/BF01473889
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