Algebras of holomorphic functions with Hadamard multiplication

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1. [1] S. Agmon, On the singularities of Taylor series with reciprocal coefficients, Pacific J. Math. 2 (1952), 431-453. Zbl0047.31201
2. [2] M. Akkar, M. El Azhari and M. Oudadess, Continuité des caractères dans les algèbres de Fréchet à bases, Canad. Math. Bull. 31 (1988), 168-174. 
3. [3] N. U. Arakelyan, On efficient analytic continuation of power series, Math. USSR-Sb. 52 (1985), 21-39. Zbl0571.30003
4. [4] E. Beckenstein, L. Narici and C. Suffel, Topological Algebras, North-Holland, Amsterdam, 1977. 
5. [5] R. P. Boas, Jr., Entire Functions, Academic Press, New York, 1954. Zbl66.0355.01
6. [6] E. Borel, Sur les singularités des séries de Taylor, Bull. Soc. Math. France 26 (1898), 238-248. Zbl29.0210.03
7. [7] R. M. Brooks, A ring of analytic functions, Studia Math. 24 (1964), 191-210. Zbl0199.46201
8. [8] R. M. Brooks, A ring of analytic functions, II, ibid. 39 (1971), 199-208. Zbl0213.40303
9. [9] R. Brück and J. Müller, Invertible elements in a convolution algebra of holomorphic functions, Math. Ann. 294 (1992), 421-438. Zbl0769.30002
10. [10] R. Brück and J. Müller, Closed ideals in a convolution algebra of holomorphic functions, Canad. J. Math., to appear. Zbl0836.30002
11. [11] S. El-Helaly and T. Husain, Orthogonal bases are Schauder bases and a characterization of Φ-algebras, Pacific J. Math. 132 (1988), 265-275. Zbl0654.46011
12. [12] T. Husain and S. Watson, Topological algebras with orthogonal bases, ibid. 91 (1980), 339-347. Zbl0477.46042
13. [13] T. Husain and S. Watson, Algebras with unconditional orthogonal bases, Proc. Amer. Math. Soc. 79 (1980), 539-545. Zbl0434.46029
14. [14] B. Mitiagin, S. Rolewicz and W. Żelazko, Entire functions in $B_0$-algebras, Studia Math. 21 (1962), 291-306. Zbl0111.31001
15. [15] J. Müller, The Hadamard multiplication theorem and applications in summability theory, Complex Variables Theory Appl. 18 (1992), 155-166. Zbl0756.30002
16. [16] P. K. Raševskiĭ [P. K. Rashevskiĭ], Closed ideals in a countably generated normed algebra of analytic entire functions, Soviet Math. Dokl. 6 (1965), 717-719. Zbl0139.30401
17. [17] R. Remmert, Funktionentheorie II, Springer, Berlin, 1991. 
18. [18] W. Żelazko, Banach Algebras, Elsevier, Amsterdam, 1973. 
19. [19] W. Żelazko, Metric generalizations of Banach algebras, Dissertationes Math. 47 (1965). Zbl0131.13005

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