## Sur les algèbres de restrictions des séries de Taylor absolument convergentes à un fermé du cercle. (On the algebras of restrictions of Taylor series which absolutely convergent in a closed set of the circle.).(French)Zbl 0228.43002

### MSC:

 43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions 30H05 Spaces of bounded analytic functions of one complex variable 43A50 Convergence of Fourier series and of inverse transforms 43A15 $$L^p$$-spaces and other function spaces on groups, semigroups, etc.
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### References:

 [1] L. Carleson, Sets of uniqueness for functions regular in the unit circle,Acta Mathematica,87 (1952), 325–345. · Zbl 0046.30005 [2] M. Ivaŝev-Muçtov, Sets and Hausdorff measures (in Russian),Dokl. Akad. Nauk, S.S.S.R., (1962), 1001–1004. [3] J.-P. Kahane, A metric condition for a closed circular set to be a set of uniqueness,Journal of Approximation Theory. · Zbl 0175.35202 [4] J.-P. Kahane et R. Salem, Ensembles parfaits et séries trigonométriques, Hermann, 1963. [5] I. Wik, On linear dependence in closed sets,Arkiv för Mat.,4, (1960). [6] M. Chauve, Comptes Rendus Acad Sc., Paris,268 (A et B), (1969), 1384–1385. [7] Y. Katznelson, An Introduction to Harmonic Analysis, Wiley, 1968. · Zbl 0169.17902
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