References
D. Aharonov and H. S. Shapiro,A minimal area problem in conformai mapping, Royal Institute of Technology research bulletin, 1973, 34 pp.
D. Aharonov and H. S. Shapiro, abstract of the above report inSymposium On Complex Analysis, Canterbury 1973, ed. J. Clunie and W. K. Hayman, Lond. Math. Soc. Lect. Note Series 12, pp. 1–5.
D. Aharonov and H. S. Shapiro,Univalent functions with minimum Dirichlet integral and finitely many prescribed Taylor coefficients (preliminary title), in preparation.
L. V. Ahlfors,Bounded analytic functions, Duke Math. J.14 (1947), 1–11.
H. Behnke and F. Sommer,Theorie der Analytischen Funktionen einer komplexen VerÄnderlichen, Dritte Auflage, Springer-Verlag, 1965.
P. Davis and H. Pollak,On the analytic continuation of mapping functions, Trans. Amer. Math. Soc.87 (1958), 198–225.
P. Davis,The Schwartz function and its applications, Carus Math. Monographs 17, Math. Assoc. of America, 1974.
B. Epstein,On the mean-value property of harmonic functions, Proc. Amer. Math. Soc.13(1962), p. 830.
B. Epstein and M. M. Schiffer,On the mean-value property of harmonic functions, J. Anal. Math.14 (1965), 109–111.
M. Goldstein and W. H. Ow,On the mean-value property of harmonic functions, Proc. Amer. Math. Soc.29 (1971), 341–344.
L.-I. Hedberg,Weighted mean approximation in Caratheodory regions, Math. Scand.23 (1968), 113–122.
L.-I. Hedberg,Approximation in the mean by analytic functions, Trans. Amer. Math. Soc.163 (1972), 157–171.
ü. Kuran,On the mean-value property of harmonic functions, Bull. London Math. Soc.4 (1972), 311–312.
Z. Nehari,Conformai Mapping, McGraw-Hill, 1952.
M. Schiffer,The span of multiply connected domains, Duke Math. J.10 (1943), 209–216.
M. Schiffer and D. C. Spencer,Functionals of Finite Riemann Surfaces, Princeton Univ. Press, 1954.
A. L. Shields,Weighted shift operators and analytic functions, in Amer. Math. Soc. Mathematical Surveys, No. 13.
K. Yosida,Functional Analysis, Springer-Verlag, 1966.
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Aharonov, D., Shapiro, H.S. Domains on which analytic functions satisfy quadrature identities. J. Anal. Math. 30, 39–73 (1976). https://doi.org/10.1007/BF02786704
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DOI: https://doi.org/10.1007/BF02786704