no. 2
Analysis on some linear sets
Annales de l'Institut Fourier, Tome 21 (1971) no. 2, pp. 23-29.

On construit des ensembles aléatoires de multiplicité rationnellement indépendants, précisant ces propriétés sous deux aspects techniques. On améliore quelques résultats obtenus par les processus gaussiens ou la méthode topologique de catégorie.

The note discusses a probabilistic method for constructing “small” sets, with regard to differentiable transformations and to quantitative measures of independence.

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     author = {Kaufman, Robert},
     title = {Analysis on some linear sets},
     journal = {Annales de l'Institut Fourier},
     pages = {23--29},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {21},
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Kaufman, Robert. Analysis on some linear sets. Annales de l'Institut Fourier, Tome 21 (1971) no. 2, pp. 23-29. doi : 10.5802/aif.370. http://archive.numdam.org/articles/10.5802/aif.370/

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[3] J.-P. Kahane, Images browniennes des ensembles parfaits, C.R. Acad. Sci., Paris 263A (1966), 613-615. | MR | Zbl

[4] J.-P. Kahane and R. Salem, Ensembles parfaits, Hermann, Paris, 1963. | Zbl

[5] N. Th. Varopoulos, Sets of multiplicity in locally compact abelian groups, Ann. Inst. Fourier (Grenoble) 16 (1966), 123-158. | Numdam | MR | Zbl

[6] A. Zygmund, Trigonometric Series, Cambridge, (1959, 1968). | Zbl

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