Fourier Transforms of Measures and Algebraic Relations on Their Supports

Thomas W. Körner[1]

  • [1] DPMMS Centre for Mathematical Sciences Clarkson Road Cambridge (England)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 4, page 1291-1319
  • ISSN: 0373-0956

Abstract

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We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.

How to cite

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Körner, Thomas W.. "Fourier Transforms of Measures and Algebraic Relations on Their Supports." Annales de l’institut Fourier 59.4 (2009): 1291-1319. <http://eudml.org/doc/10428>.

@article{Körner2009,
abstract = {We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.},
affiliation = {DPMMS Centre for Mathematical Sciences Clarkson Road Cambridge (England)},
author = {Körner, Thomas W.},
journal = {Annales de l’institut Fourier},
keywords = {Convolution; Fourier series; convolution},
language = {eng},
number = {4},
pages = {1291-1319},
publisher = {Association des Annales de l’institut Fourier},
title = {Fourier Transforms of Measures and Algebraic Relations on Their Supports},
url = {http://eudml.org/doc/10428},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Körner, Thomas W.
TI - Fourier Transforms of Measures and Algebraic Relations on Their Supports
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 4
SP - 1291
EP - 1319
AB - We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.
LA - eng
KW - Convolution; Fourier series; convolution
UR - http://eudml.org/doc/10428
ER -

References

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  1. J. P. Kahane, Some random series of functions, (1985), Cambridge University Press, Cambridge Zbl0571.60002MR833073
  2. R. Kaufman, A functional method for linear sets, Israel J. Math. 5 (1967), 185-187 Zbl0156.37403MR236607
  3. R. Kaufman, Small subsets of finite Abelian groups, Annales de l’Institut Fourier 18 (1968), 99-102 Zbl0175.30501MR241532
  4. T. W. K Körner, Measures on independent sets, a quantitative version of a theorem of Rudin, Proc. Amer. Math. Soc. 135 (2007), 3823-3832 Zbl1135.42002MR2341932
  5. K. Kuratowski, Topology, I (1966), Academic Press, New York-London, Państwowe Wydawnictwo Naukowe, Warsaw Zbl0158.40802MR217751

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