Analysis on some linear sets

Robert Kaufman

Annales de l'institut Fourier (1971)

  • Volume: 21, Issue: 2, page 23-29
  • ISSN: 0373-0956

Abstract

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

How to cite

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Kaufman, Robert. "Analysis on some linear sets." Annales de l'institut Fourier 21.2 (1971): 23-29. <http://eudml.org/doc/74035>.

@article{Kaufman1971,
abstract = {The note discusses a probabilistic method for constructing “small” sets, with regard to differentiable transformations and to quantitative measures of independence.},
author = {Kaufman, Robert},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {23-29},
publisher = {Association des Annales de l'Institut Fourier},
title = {Analysis on some linear sets},
url = {http://eudml.org/doc/74035},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Kaufman, Robert
TI - Analysis on some linear sets
JO - Annales de l'institut Fourier
PY - 1971
PB - Association des Annales de l'Institut Fourier
VL - 21
IS - 2
SP - 23
EP - 29
AB - The note discusses a probabilistic method for constructing “small” sets, with regard to differentiable transformations and to quantitative measures of independence.
LA - eng
UR - http://eudml.org/doc/74035
ER -

References

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  1. [1] J. W. S. CASSELS, An introduction to Diophantine approximation, Cambridge Tract 45, (1957). Zbl0077.04801MR19,396h
  2. [2] H. DAVENPORT, A note on Diophantine approximation II. Mathematika 11 (1964), 50-58. Zbl0122.05903MR29 #3432
  3. [3] J.-P. KAHANE, Images browniennes des ensembles parfaits, C.R. Acad. Sci., Paris 263A (1966), 613-615. Zbl0158.35703MR35 #3752
  4. [4] J.-P. KAHANE and R. SALEM, Ensembles parfaits, Hermann, Paris, 1963. Zbl0112.29304
  5. [5] N. Th. VAROPOULOS, Sets of multiplicity in locally compact abelian groups, Ann. Inst. Fourier (Grenoble) 16 (1966), 123-158. Zbl0145.03501MR35 #3379
  6. [6] A. ZYGMUND, Trigonometric Series, Cambridge, (1959, 1968). Zbl0085.05601

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