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An extension of the Nevanlinna theory. (English) Zbl 0323.30030

MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
30D50 Blaschke products, etc. (MSC2000)
31A10 Integral representations, integral operators, integral equations methods in two dimensions
31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions
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References:
[1] Nevanlinna, R.,Analytic Functions. Springer, 1970. · Zbl 0199.12501
[2] Beurling, A., On two problems concerning linear transformations in Hilbert space.Acta Math., 81 (1949), 239–255. · Zbl 0033.37701
[3] Horowitz, C. A., Zeros of functions in the Bergman spaces.Duke Math. J., 41 (1974), 693–710. · Zbl 0293.30035
[4] Djrbashian, M. M.,Integral transformations and representation of functions in the complex domain. Moscow, Nauka, 1966 (in Russian).
[5] –, Factorization theory and boundary properties of functions meromorphic in the disk.Uspehi Mat. Nauk, 28: 4 (1973), 3–14.
[6] Taylor, B. A. &Williams, D. L., Ideals in rings of analytic functions with smooth boundary values.Canad. J. Math., 22 (1970), 1266–1283. · Zbl 0204.44302
[7] Shapiro, H. S. &Shields, H. L., On the zeros of functions with finite Dirichlet integral and some related function spaces.Math. Z., 80 (1962), 217–229. · Zbl 0115.06301
[8] Warschawski, S. E., On conformal mapping of infinite strips.Trans. Amer. Math. Soc., 51 (1942), 280–335. · Zbl 0028.40303
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