Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces

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چکیده

We recall the complex structure on generalized loop spaces Wk,2(S,X), where S is a compact real manifold with boundary and X manifold, prove Hartogs-type extension theorem for holomorphic maps from certain domains in spaces.

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ژورنال

عنوان ژورنال: Complex Variables and Elliptic Equations

سال: 2022

ISSN: ['1747-6941', '1747-6933']

DOI: https://doi.org/10.1080/17476933.2022.2097666