Seventy Years of Rajchman Measures By Russell Lyons Dedicated to

@inproceedings{Kahane2010SeventyYO,
  title={Seventy Years of Rajchman Measures By Russell Lyons Dedicated to},
  author={Jean-Pierre Kahane},
  year={2010}
}
Rajchman measures are those Borel measures on the circle (say) whose Fourier transform vanishes at infinity. Their study proper began with Rajchman, but attention to them can be said to have begun with Riemann’s theorem on Fourier coefficients, later extended by Lebesgue. Most of the impetus for the study of Rajchman measures has been due to their importance for the question of uniqueness of trigonometric series. This motivation continues to the present day with the introduction of descriptive… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 44 references

Descriptive Set Theory and the Structure of Sets of Uniqueness

  • A. S. Kechris, A. Louveau
  • London Math. Soc. Lecture Note Ser. 128…
  • 1987
Highly Influential
10 Excerpts

A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish at Infinity

  • R. Lyons
  • Ph. D. thesis, Univ. of Michigan.
  • 1983
Highly Influential
6 Excerpts

Les probabilités dénombrables et leurs applications arithmétiques, Rend

  • E. Borel
  • Circ. Mat. Palermo 27, 247–271.
  • 1909
Highly Influential
9 Excerpts

Sur les séries trigonométriques, Ann

  • H. Lebesgue
  • Sci. de l’École Normale (Paris) (3) 20, 453–485.
  • 1903
Highly Influential
8 Excerpts

Covering theorems for uniqueness and extended uniqueness sets, Colloq

  • A. S. Kechris, A. Louveau
  • Math. 59, 63–79.
  • 1990
Highly Influential
3 Excerpts

Characterization of measures in the group C *algebra of a locally compact group

  • M. Blümlinger
  • Math . Ann .
  • 1991
Highly Influential
1 Excerpt

Characterization of measures in the group C*-algebra of a locally compact group, Math

  • M. Blümlinger
  • Ann. 289, 393–402.
  • 1991
Highly Influential
1 Excerpt

Rajchman measures on compact groups

  • M. Blümlinger
  • Math . Ann .
  • 1989
Highly Influential
1 Excerpt

Rajchman measures on compact groups, Math

  • M. Blümlinger
  • Ann. 284, 55–62.
  • 1989
Highly Influential
1 Excerpt