@article{bwmeta1.element.bwnjournal-article-cmv74i1p79bwm, author = {Hermann Render}, title = {Hadamard's multiplication theorem - recent developments}, journal = {Colloquium Mathematicae}, volume = {72}, year = {1997}, pages = {79-92}, zbl = {0903.46049}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p79bwm} }
Render, Hermann. Hadamard's multiplication theorem - recent developments. Colloquium Mathematicae, Tome 72 (1997) pp. 79-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p79bwm/
[000] [1] S. Agmon, On the singularities of Taylor series with reciprocal coefficients, Pacific J. Math. 2 (1952), 431-453. | Zbl 0047.31201
[001] [2] N. U. Arakelyan, On efficient analytic continuation of power series, Math. USSR-Sb. 52 (1985), 21-39. | Zbl 0571.30003
[002] [3] L. Bieberbach, Analytische Fortsetzung, Ergeb. Math. Grenzgeb. 3, Springer, Berlin, 1955.
[003] [4] R. P. Boas, Jr., Entire Functions, Academic Press, New York, 1954. | Zbl 66.0355.01
[004] [5] E. Borel, Sur les singularités des séries de Taylor, Bull. Soc. Math. France 26 (1898), 238-248. | Zbl 29.0210.03
[005] [6] R. M. Brooks, A ring of analytic functions, Studia Math. 24 (1964), 191-210. | Zbl 0199.46201
[006] [7] R. M. Brooks, A ring of analytic functions, II, ibid. 39 (1971), 199-208. | Zbl 0213.40303
[007] [8] R. Brück and J. Müller, Invertible elements in a convolution algebra of holomorphic functions, Math. Ann. 294 (1992), 421-438. | Zbl 0769.30002
[008] [9] R. Brück and J. Müller, Closed ideals in a convolution algebra of holomorphic functions, Canad. J. Math. 47 (1995), 915-928. | Zbl 0836.30002
[009] [10] P. L. Duren, Univalent Functions, Springer, Berlin, 1983.
[010] [11] W. Fischer and I. Lieb, Funktionentheorie, Vieweg, Braunschweig, 1980.
[011] [12] J. Hadamard, Théorème sur les séries entières, Acta Math. 22 (1899), 55-63.
[012] [13] E. Hille, Analytic Function Theory, Vol. II, 2nd ed., Chelsea, New York, 1977.
[013] [14] T. Husain, Multipliers of topological algebras, Dissertationes Math. 285 (1989).
[014] [15] R. Larsen, Introduction to the Theory of Multipliers, Springer, Berlin, 1971. | Zbl 0213.13301
[015] [16] J. Müller, The Hadamard multiplication theorem and applications in summability theory, Complex Variables Theory Appl. 18 (1992), 75-81.
[016] [17] J. Müller, Coefficient multipliers from , into , Arch. Math. (Basel) 61 (1993), 75-81.
[017] [18] P. K. Raševskiĭ, Closed ideals in a countably generated normed algebra of analytic entire functions, Soviet Math. Dokl. 6 (1965), 717-719.
[018] [19] R. Remmert, Funktionentheorie II, Springer, Berlin, 1991.
[019] [20] H. Render, Homomorphisms on Hadamard algebras, Rend. Circ. Mat. Palermo (2) Suppl. 40 (1996), 153-158. | Zbl 0884.46035
[020] [21] H. Render, Topological algebras with an orthogonal total sequence, submitted.
[021] [22] H. Render and A. Sauer, Algebras of holomorphic functions with Hadamard multiplication, Studia Math. 118 (1996), 77-100.
[022] [23] H. Render and A. Sauer, Invariance properties of homomorphisms on algebras of holomorphic functions with Hadamard multiplication, ibid. 121 (1996), 53-65. | Zbl 0864.46029
[023] [24] H. Render and A. Sauer, Multipliers on vector spaces of holomorphic functions, submitted.
[024] [25] H. H. Schaefer, Topological Vector Spaces, Springer, Berlin, 1971.
[025] [26] S. Schottlaender, Der Hadamardsche Multiplikationssatz und weitere Kompositionssätze der Funktionentheorie, Math. Nachr. 11 (1954), 239-294. | Zbl 0059.06002
[026] [27] M. von Renteln, Ideale in Ringen ganzer Funktionen endlicher Ordnung, Mitt. Math. Sem. Giessen 95 (1972), 1-52.
[027] [28] W. Żelazko, Banach Algebras, Elsevier, Amsterdam, 1973.