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The Reduced Module of the Complex Sphere

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The paper continues studies of reduced modules of open sets. A notion of reduced module of the complex sphere is introduced, a formula for this module is obtained, and a number of its properties are proved. Applications of the reduced module of the sphere to various problems in geometric function theory are given. Bibliography: 12 titles.

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Dubinin, V.N., Kovalev, L.V. The Reduced Module of the Complex Sphere. Journal of Mathematical Sciences 105, 2165–2179 (2001). https://doi.org/10.1023/A:1011377024516

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