Algèbres de restrictions non isomorphes

Yves Meyer

Annales de l'institut Fourier (1969)

  • Volume: 19, Issue: 1, page 117-124
  • ISSN: 0373-0956

Abstract

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We give an example of two quotients of a group algebra which are not isomorphic but whose specters are two symmetric compact sets of the line with the same arithmetical properties.

How to cite

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Meyer, Yves. "Algèbres de restrictions non isomorphes." Annales de l'institut Fourier 19.1 (1969): 117-124. <http://eudml.org/doc/73972>.

@article{Meyer1969,
abstract = {Les algèbres de restrictions des transformées de Fourier des fonctions intégrables à deux ensembles symétriques $E$ et $F$ arithmétiquement équivalents ne sont pas toujours isomorphes.},
author = {Meyer, Yves},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {fre},
number = {1},
pages = {117-124},
publisher = {Association des Annales de l'Institut Fourier},
title = {Algèbres de restrictions non isomorphes},
url = {http://eudml.org/doc/73972},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Meyer, Yves
TI - Algèbres de restrictions non isomorphes
JO - Annales de l'institut Fourier
PY - 1969
PB - Association des Annales de l'Institut Fourier
VL - 19
IS - 1
SP - 117
EP - 124
AB - Les algèbres de restrictions des transformées de Fourier des fonctions intégrables à deux ensembles symétriques $E$ et $F$ arithmétiquement équivalents ne sont pas toujours isomorphes.
LA - fre
KW - functional analysis
UR - http://eudml.org/doc/73972
ER -

References

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  1. [1] A. BEURLING et H. HELSON, Fourier-Stieltjes transforms with bounded powers, Math. Scand. 1, 120-126 (1953). Zbl0050.33004MR15,307c
  2. [2] K. DELEEUW et Y. KATZNELSON, On certain homomorphisms of quotients of group algebras, Israël J. Math. 2, 120-126 (1964). Zbl0134.12502MR30 #5183
  3. [3] R. SALEM, On sets of multiplicity for trigonometrical series, Amer. J. Math., 64, 531-538 (1942). Zbl0060.18603MR4,38b
  4. [4] R. B. SCHNEIDER, Doctoral dissertation, Stanford University (1968). 
  5. [5] Séminaire Bourbaki de Février 1968, Problème de l'unicité, de la synthèse et des isomorphismes en analyse harmonique. 

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