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Homogeneous algebras on the circle. I: Ideals of analytic functions. (English) Zbl 0228.46046

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] L. AHLFORS and M. HEINS, Questions of regularity connected with the phragmen-Lindelöf principle, Ann. of Math., (2) 50 (1949), 341-346. · Zbl 0036.04702 [2] C. BENNETT, On the harmonic analysis of rearrangement-invariant Banach function spaces, Thesis, University of Newcastle, 1971. [3] R.P. BOAS, “entire functions”, Academic Press (1954), New York. · Zbl 0058.30201 [4] T. CARLEMAN, “L”intégrale de Fourier et questions qui s’y rattachent”, Almqvist and Wiksell (1944), Uppsala. · Zbl 0060.25504 [5] Y. DOMAR, On the existence of a largest subharmonic minorant of a given function, Ark. Mat. 3, (1967), 429-440. · Zbl 0078.09301 [6] J.E. GILBERT, On the harmonic analysis of some subalgebras of L1 (0, ∞), Seminar, Symposium in Harmonic Analysis, Warwick (1968). [7] V.P. GURARII, On primary ideals in the space L1 (0, ∞), Soviet Math. Doklady, 7 (1966), 266-268. · Zbl 0154.39203 [8] M. HASUMI and T. SRINIVASAN, Invariant subspaces of analytic functions, Canad. J. Math., 17 (1965), 643-651. · Zbl 0128.34201 [9] K. HOFFMAN, “banach spaces of analytic functions”, Prentice-Hall (1962), Englewood Cliffs, N.J. · Zbl 0117.34001 [10] J.P. KAHANE, Idéaux primaires fermés dans certaines algèbres de Banach de fonctions analytiques, (to appear). · Zbl 0271.46047 [11] Y. KATZNELSON, “an introduction to harmonic analysis”, John Wiley (1968), New York. · Zbl 0169.17902 [12] P. KOOSIS, On the spectral analysis of bounded functions, Pacific J. Math., 16 (1966), 121-128. · Zbl 0146.12201 [13] B.I. KORENBLYUM, A generalization of Wiener’s Tauberian theorem and spectrum of fast growing functions, Trudy Moskov Mat. Obsc., 7 (1958), 121-148. [14] K. de LEEUW, Homogeneous algebras on compact abelian groups, Trans. Amer. Math. Soc., 87 (1958), 372-386. · Zbl 0083.34603 [15] H. MIRKIL, The work of silov on commutative Banach algebras, Notas de Matematica, No. 20 (1959), Rio de Janeiro. · Zbl 0090.09301 [16] B. NYMAN, On the one-dimensional translation group and semi-group in certain function spaces, Thesis (1950), Uppsala. · Zbl 0037.35401 [17] W. RUDIN, Continuous functions on compact spaces without perfect subsets, Proc. Amer. Math. Soc., 8 (1957), 39-42. · Zbl 0077.31103 [18] G.E. SILOV, Homogeneous rings of functions, Amer. Math. Soc. Translation No. 92. · Zbl 0053.08401 [19] B.A. TAYLOR and D.L. WILLIAMS, The space of functions analytic in the disk with indefinitely differentiable boundary values, (submitted for publication).
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