Abstract
A finiteness theorem on the bundle-valued \(L^2\) \(\bar{\partial }\)-cohomology groups is recalled and reproved with some refinement by employing the method of Hörmander [H]. A new connection between the \(\bar{\partial }\)-cohomology of noncompact manifolds and the problem of extending analytic objects is remarked.
To the memory of Lars Hörmander
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Ohsawa, T. (2015). A Remark on Hörmander’s Isomorphism. In: Bracci, F., Byun, J., Gaussier, H., Hirachi, K., Kim, KT., Shcherbina, N. (eds) Complex Analysis and Geometry. Springer Proceedings in Mathematics & Statistics, vol 144. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55744-9_20
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DOI: https://doi.org/10.1007/978-4-431-55744-9_20
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