References
J. Arbault,Sur l'ensemble de convergence absolue d'une série trigonométrique, Bull. Soc. Math. France80 (1952), 254–317.
N. K. Bary,A Treatise on Trigonometric Series, Vols. 1, 2, Pergamon Press, Oxford, 1964.
A. Bernard,Une caractérisation de C(X) parmi les algèbres de Banach, C. R. Acad. Sci. Paris267 (1968), 634–635.
A. Browder,Introduction to Function Algebras, Benjamin, New York, 1969.
J. C. Burkhill,The Lebesgue Integral, Cambridge, 1953.
S. W. Drury,Sur les ensembles de Sidon, C. R. Acad. Sci. Paris271 (1970), 162–163.
H. Hahn,Ueber die Menge der Konvergenzpunkte einer Funktion Folge, Arch. Math. Phys.28 (1919), 34–35.
T. Hedberg,Sur un théorème de Bernard et Wik, C. R. Acad. Sci. Paris270 (1970), 441–443.
E. Hewitt and K. A. Ross,Abstract Harmonic Analysis, Vol. 1, Springer-Verlag, Berlin, 1963.
K. Hoffman,Banach Spaces of Analytic Functions, Prentice Hall, New Jersey, 1962.
J. P. Kahane, Lecture, Proc. Int. Congr. Math. 1958.
J. P. Kahane,Sur les réarrangements de fonctions de la classe A, Studia Math.31 (1968), 287–293.
J. P. Kahane,Séries de Fourier Absolument Convergentes, Springer-Verlag, Berlin, 1970.
J. P. Kahane and R. Salem,Ensembles Parfaits et Séries Trigonométriques, Hermann, Paris, 1963.
Y. Katznelson,Calcul symbolique dans les algèbres homogènes, C. R. Acad. Sci. Paris254 (1962), 2700.
Y. Katznelson,An Introduction to Harmonic Anlaysis John Wiley and Sons, New York, 1968.
R. Kaufman,A functional method for linear sets, Israel J. Math.5 (1967).
R. Kaufman,Small subsets of finite abelian groups, Ann. Inst. Fourier (Grenoble)18 (1968), 99–102.
J. L. Kelley, I. Namioka et al.,Linear Topological Spaces, Van Nostrand, New Jersey, 1963.
T. W. Körner,Some results on Kronecker, Dirichlet and Helson sets, Ann. Inst. Fourier (Grenoble)20 (1971).
P. Lafontaine,Sur les ensembles de convergence absolue, Bull. Math. Soc. France 19 (1968).
P. Malliavin,Impossibilité de la synthèse spectrale sur les groupes abeliens non compacts, Inst. Hautes Etudes Sci. Publ. Math.2 (1959), 61–68.
M.-P. Malliavin-Brameret and P. Malliavin,Caractérisation arithmétique d'une classe d'ensembles de Helson, C. R. Acad. Sci. Paris264 (1967), 192–193.
Lindahl and Poulsen (eds.),Seminars on Thin Sets in Harmonic Analysis at Institut Mittag Leffler, 1969–70.
L. H. Loomis,An Introduction to Harmonic Analysis, Van Nostrand, New Jersey, 1953.
A. Pelczyński,Some linear topological properties of seperable function algebras, J. Amer. Math. Soc. 1967.
H. Reiter,Classical Harmonic Analysis and Locally Compact Groups, Oxford, 1968.
W. Rudin,Real and Complex Analysis, McGraw-Hill, New York, 1966.
W. Rudin,Fourier Analysis on Groups, John Wiley and Sons, New York, 1967.
W. Rudin,Function Theory in Polydiscs, Benjamin, New York, 1969.
S. Saks,Theory of the Integral, Monografje Matematyczne, Vol. VII., Warszawa-Lwow, 1937.
W. Sierpinski,Sur l'ensemble des points de convergence d'une suite de fonctions continues, Fund. Math.2 (1921), 41–49.
P. L. Ul'yanov,On the divergence of Fourier series, Uspehi Mat. Nauk12 (1957), 75–132.
N.-Th. Varopoulos,Sur les ensembles parfaits et les séries trigonométriques, C. R. Acad. Sci. Paris.260 (1965), 3831–3834.
N.-Th. Varopoulos,Sets of multiplicity in locally compact abelian Groups, Ann. Inst. Fourier, (Grenoble)16 (1966), 123–158.
N.-Th. Varopoulos,On a problem of Beurling, J. Functional Analysis2 (1968), 24–30.
N. Th. Varopoulos,Sur les ensembles de Kronecker, C. R. Acad. Sci. Paris 268 (1969), 954–957.
N.-Th. Varopoulos,Groups of continous functions in harmonic analysis, Acta Math.125 (1970), 109–154.
I. Wik,On linear dependence in closed sets, Ark. Mat.4 (1960), 209–218.
I. Wik,Some examples of sets with linear independence, Ark. Mat.5 (1963), 207–214.
K. Zeller,Ueber Konvergenzmengen von Fourierreihen, Arch. Math.6 (1955), 335–340.
A. Zygmund,Trigonometric Series, Vol. I, 2nd ed., Cambridge, 1959.
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Körner, T.W. Some results on Knonecker, Dirichlet and Helson sets II. J. Anal. Math. 27, 260–388 (1974). https://doi.org/10.1007/BF02788650
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DOI: https://doi.org/10.1007/BF02788650