Ohsawa–Takegoshi L2 extension theorem
Result concerning the holomorphic extensions In several complex variables From Wikipedia, the free encyclopedia
In several complex variables, the Ohsawa–Takegoshi L2 extension theorem is a fundamental result concerning the holomorphic extension of an -holomorphic function defined on a bounded Stein manifold (such as a pseudoconvex compact set in of dimension less than ) to a domain of higher dimension, with a bound on the growth. It was discovered by Takeo Ohsawa and Kensho Takegoshi in 1987,[1] using what have been described as ad hoc methods involving twisted Laplace–Beltrami operators, but simpler proofs have since been discovered.[2] Many generalizations and similar results exist, and are known as theorems of Ohsawa–Takegoshi type.
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