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Quasianalytic Banach function algebras. (English) Zbl 0254.46027


MSC:

46J10 Banach algebras of continuous functions, function algebras
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46J20 Ideals, maximal ideals, boundaries
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References:

[1] Curtis, P. C., Topics in Banach spaces of continuous functions, (Lecture Notes Series No. 25 (1970), Matematisk Institut, Århus Universitet) · Zbl 0227.46032
[2] Dales, H. G., Boundaries and peak points for Banach function algebras, (Proc. London Math. Soc., 21 (1971)), 121-136 · Zbl 0211.15902
[3] Gamelin, T. W., Uniform Algebras (1969), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0213.40401
[4] Katznelson, Y., Sur le calcul symbolique dans quelques algèbres de Banach, Ann. Sci. École Norm. Sup., 76, 83-124 (1959) · Zbl 0098.30601
[5] Malgrange, B., Ideals of Differentiable Functions (1966), Oxford University Press: Oxford University Press London/New York · Zbl 0177.17902
[6] Mandelbrojt, S., Séries Adhérentes, Régularisation des Suites, Applications (1952), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0048.05203
[7] Rudin, W., Fourier Analysis on Groups (1962), Interscience: Interscience New York · Zbl 0107.09603
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