Ideals and invariant subspaces of analytic functions
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- by Michael Voichick
- Trans. Amer. Math. Soc. 111 (1964), 493-512
- DOI: https://doi.org/10.1090/S0002-9947-1964-0160920-5
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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 C. Carathéodory, Conformal representation, University Press, Cambridge, 1958.
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Rolf Nevanlinna, Uniformisierung, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band LXIV, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1953 (German). MR 0057335
- Arthur H. Read, A converse of Cauchy’s theorem and applications to extremal problems, Acta Math. 100 (1958), 1–22. MR 98178, DOI 10.1007/BF02559600 H. L. Royden, Boundary values of analytic and harmonic functions, Tech. Rep. No. 19, 1960, Applied Mathematics and Statistics Laboratories, Stanford University. Stanford, Calif.
- 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
- Walter Rudin, The closed ideals in an algebra of analytic functions, Canadian J. Math. 9 (1957), 426–434. MR 89254, DOI 10.4153/CJM-1957-050-0
- George Springer, Introduction to Riemann surfaces, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1957. MR 0092855
- M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 111 (1964), 493-512
- MSC: Primary 30.85
- DOI: https://doi.org/10.1090/S0002-9947-1964-0160920-5
- MathSciNet review: 0160920