Inner and outer functions on Riemann surfaces

Inner and outer functions on Riemann surfaces
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Proc. Amer. Math. Soc. 16 (1965), 1200-1204

DOI: https://doi.org/10.1090/S0002-9939-1965-0183883-1

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References

Arne Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1948), 239–255. MR 27954, DOI 10.1007/BF02395019

Invariant subspace theorems for finite Riemann surfaces

Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
M. Parreau, Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Ann. Inst. Fourier (Grenoble) 3 (1951), 103–197 (1952) (French). MR 50023
H. L. Royden, The boundary values of analytic and harmonic functions, Math. Z. 78 (1962), 1–24. MR 138747, DOI 10.1007/BF01195147
Walter Rudin, Analytic functions of class $H_p$, Trans. Amer. Math. Soc. 78 (1955), 46–66. MR 67993, DOI 10.1090/S0002-9947-1955-0067993-3

The

spaces of annuli

Donald Sarason, Doubly invariant subspaces of annulus operators, Bull. Amer. Math. Soc. 69 (1963), 593–596. MR 150323, DOI 10.1090/S0002-9904-1963-11010-1
M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894
Michael Voichick, Ideals and invariant subspaces of analytic functions, Trans. Amer. Math. Soc. 111 (1964), 493–512. MR 160920, DOI 10.1090/S0002-9947-1964-0160920-5