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References
Ahlfors, L., andBeurling, A., Conformal invariants and function-theoretic null-sets, Acta Math.83, 101–129 (1950).
Beurling, A., Ensembles exceptionnels, Acta Math.72, 1–13 (1940).
Broman, A., On two classes of trigonometrical series, Thesis, Uppsala (1947).
Browder, A., Cohomology of maximal ideal spaces, Bull. Amer. Math. Soc.67, 515–516 (1961).
Carleson, L., Selected problems on exceptional sets, Mimeographed, Uppsala (1961).
Choquet, G., Theory of capacities, Ann. Inst., Fourier5, 131–295 (1955).
Frostman, O., Potentiel d'équilibre et capacité des, ensembles, Thesis, Lund (1935).
Katznelson, Y., andRudin, W., The Stone-Weierstrass property in Banach algebras, Pacific J. Math11, 253–265 (1961).
Loomis, L. H., An introduction to abstract harmonic analysis, Van Nostrand, New York (1953).
Mergeljan, S. N., Uniform approximations to functions of a complex variable, Amer. Math. Soc. Translations (1),101, (1954). (Usp. Mat. Nauk. (N.S.),7, no. 2 (48), 31–122 (1952).
Nachbin, L., Sur les algèbres denses de fonctions différentiables sur une variété, C. R. Acad. Sci. Paris228, 1549–1551 (1949).
Pólya, G., andSzegö, G., Über den transfiniten Durchmesser (Kapazitätskonstante) von ebenen und räumlichen Punktmengen, J. Reine Angew. Math.165, 4–49 (1931).
Saks, S., Theory of the integral, 2ed, Monografje Matematyczne7, Warsaw (1937).
Salem, R., andZygmund, A., Capacity of sets and Fourier series, Trans. Amer. Math. Soc.59, 23–41 (1946).
Wermer, J., Polynomial approximation on an arc inC 3, Ann. of Math.62, 269–270 (1955).
Whitney, H., Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc.36, 63–89 (1934).
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Hedberg, L.I. The Stone-Weierstrass theorem in certain Banach algebras of Fourier type. Ark. Mat. 6, 77–102 (1965). https://doi.org/10.1007/BF02591329
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DOI: https://doi.org/10.1007/BF02591329