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On Levinson’s Theorem Concerning Families of Analytic Functions

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Investigations in Linear Operators and Function Theory

Part of the book series: Seminars in Mathematics ((SM))

Abstract

In 1938 N. Levinson [1] proved a theorem that was a far-reaching generalization of the principle of the maximum of the modulus for analytic functions.

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Literature Cited

  1. Levinson, N., Gap and Density Theorems, American Mathematical Society (1940).

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  2. Sjoberg, N., Compt. Rend. IX Congr. Math. Scand., Helsingfors (1938).

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  3. Wolf, F., On majorants of subharmonic and analytic functions, Bull. Amer. Math. Soc., 49: 952 (1942).

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  4. Nevanlinna, R. H., Single-Valued Analytic Functions [Russian translation], Gostekhizdat (1941), p. 101.

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  5. Domar, Y., On the existence of a largest subharmonic minorant of a given function, Arkiv Mat., 3 (5): 429–440 (1958).

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Authors

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N. K. Nikol’skii

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© 1972 Springer Science+Business Media New York

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Guraii, V.P. (1972). On Levinson’s Theorem Concerning Families of Analytic Functions. In: Nikol’skii, N.K. (eds) Investigations in Linear Operators and Function Theory. Seminars in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1526-2_8

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  • DOI: https://doi.org/10.1007/978-1-4757-1526-2_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1528-6

  • Online ISBN: 978-1-4757-1526-2

  • eBook Packages: Springer Book Archive

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