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Addition linearer Cantormengen. (German) Zbl 0334.28021

MSC:
28A75 Length, area, volume, other geometric measure theory
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
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References:
[1] J. Benedetto: Harmonic analysis on totally disconnected sets. Lecture Notes in Mathematics, Band 202. Berlin - Heidelberg- New York. Springer Verlag 1971. · Zbl 0225.43001
[2] P. Erdös B. Volkmann: Additive Gruppen mit vorgegebener Hausdorffscher Dimension. Journ. reine angew. Math. 221 (1966), 203 - 208. · Zbl 0135.10202
[3] J. P. Kahane R. Salem: Ensembles parfaits et séries trigonometriques. Paris. Herrmann 1963.
[4] D. Kahnert: Hausdorff-Maße von Summenmengen. Journ. reine angew. Math. 264 (1973), 1-28, 266 (1974), 1-9. · Zbl 0266.28009
[5] B. Sodnomov: On a property of sets of positive measure. Fund. Math. 60 (1967), 187-190. · Zbl 0163.06203
[6] M. Souslin: Sur un corps non dénombrable de nombres réels. Fund. Math. 4 (1922), 311 - 315. · JFM 49.0147.03
[7] H. Steinhaus: Sur les distances des points des ensembles de mesure positive. Fund. Math. 1 (1920), 93-104. · JFM 47.0179.02
[8] H. Wegmann: Die Hausdorff-Dimension von kartesischen Produkten metrischer Räume. Journ. reine angew. Math. 246 (1971), 46-75. · Zbl 0208.51002
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