Topics on Kronecker sets
Annales de l'institut Fourier (1973)
- Volume: 23, Issue: 4, page 65-74
- ISSN: 0373-0956
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topKaufman, Robert. "Topics on Kronecker sets." Annales de l'institut Fourier 23.4 (1973): 65-74. <http://eudml.org/doc/74154>.
@article{Kaufman1973,
abstract = {We obtain three theorems about transformation of sets of multiplicity onto Kronecker sets, by means of functions of various differentiability classes. The same method yields an improved theorem on the union of two Kronecker sets.},
author = {Kaufman, Robert},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {4},
pages = {65-74},
publisher = {Association des Annales de l'Institut Fourier},
title = {Topics on Kronecker sets},
url = {http://eudml.org/doc/74154},
volume = {23},
year = {1973},
}
TY - JOUR
AU - Kaufman, Robert
TI - Topics on Kronecker sets
JO - Annales de l'institut Fourier
PY - 1973
PB - Association des Annales de l'Institut Fourier
VL - 23
IS - 4
SP - 65
EP - 74
AB - We obtain three theorems about transformation of sets of multiplicity onto Kronecker sets, by means of functions of various differentiability classes. The same method yields an improved theorem on the union of two Kronecker sets.
LA - eng
UR - http://eudml.org/doc/74154
ER -
References
top- [1] J.-P. KAHANE, SÃ(c)ries de Fourier Absolument Convergentes, Ergebnisse Math. Bd. 50, Springer-Verlag, Berlin, 1970. Zbl0195.07602MR43 #801
- [2] Y. KATZNELSON, An introduction to harmonic analysis, Wiley, New York, 1968. Zbl0169.17902MR40 #1734
- [3] R. KAUFMAN, A functional method for linear sets, Israel J. Math., 5, (1967), 185-187. Zbl0156.37403MR38 #4902
- [4] R. KAUFMAN, Sets of multiplicity and differentiable functions, Proc. A.M.S., 32, (1972), 472-476. Zbl0232.43006MR49 #5678
- [5] T. W. KÃ-RNER, Some results on Kronecker, Dirichlet, and Helson sets, Annales Inst. Fourier (Grenoble), 20, (1970), 219-324. Zbl0196.08403MR44 #1995
- [6] W. RUDIN, Real and Complex Analysis, Mc Graw-Hill, New York, 1966. Zbl0142.01701MR35 #1420
- [7] A. ZYGMUND, Trigonometrical Series, I. Cambridge, 1959 and 1968.
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