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A moment problem on Jordan domains. (English) Zbl 0394.30027

MSC:
30E05 Moment problems and interpolation problems in the complex plane
Keywords:
Moment Problem
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[1] Dov Aharonov and Harold S. Shapiro, Domains on which analytic functions satisfy quadrature identities, J. Analyse Math. 30 (1976), 39 – 73. · Zbl 0337.30029 · doi:10.1007/BF02786704 · doi.org
[2] Otto B. Bekken and Bernt K. Øksendal , Spaces of analytic functions, Lecture Notes in Mathematics, Vol. 512, Springer-Verlag, Berlin-New York, 1976. Seminar on Functional Analysis and Function Theory, held in Kristiansand, June 9 – 14, 1975.
[3] James E. Brennan, Approximation in the mean by polynomials on non-Carathéodory domains, Ark. Mat. 15 (1977), no. 1, 117 – 168. · Zbl 0366.30010 · doi:10.1007/BF02386037 · doi.org
[4] Philip J. Davis, The Schwarz function and its applications, The Mathematical Association of America, Buffalo, N. Y., 1974. The Carus Mathematical Monographs, No. 17. · Zbl 0293.30001
[5] S. N. Mergeljan, On the completeness of systems of analytic functions, Amer. Math. Soc. Transl. (2) 19 (1962), 109 – 166.
[6] Makoto Sakai, Analytic functions with finite Dirichlet integrals on Riemann surfaces, Acta Math. 142 (1979), no. 3-4, 199 – 220. · Zbl 0406.30036 · doi:10.1007/BF02395061 · doi.org
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