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A Report on Pseudoconvexity Properties of Analytic Families of \(\mathbb {C}\)-Bundles and \(\mathbb {D}\)-Bundles

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Geometric Complex Analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 246))

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Abstract

Naturally arising analytic families of pseudoconvex manifolds are locally psuedoconvex in some cases and not in the other. Such a phenomenon is studied in connection to the \(L^2\) extension theorem.

Dedicated to Kang-Tae Kim on his sixtieth birthday

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Correspondence to Takeo Ohsawa .

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Ohsawa, T. (2018). A Report on Pseudoconvexity Properties of Analytic Families of \(\mathbb {C}\)-Bundles and \(\mathbb {D}\)-Bundles. In: Byun, J., Cho, H., Kim, S., Lee, KH., Park, JD. (eds) Geometric Complex Analysis. Springer Proceedings in Mathematics & Statistics, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-13-1672-2_23

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