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A smooth function in a closed domain \(\overline {\varOmega }\subset \mathbb {C}\) can be expressed using the Cauchy-Green-Pompéiu formula (see, for example Gohberg and Leiterer (Holomorphic operator functions of one variable and applications, Operator Theory: Advances and Applications, vol. 192. Birkhäuser Verlag, Basel, 2009, Chapter 2, Section 2.1, 29)).

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Solution of the \(\overline {\partial }\) Problem

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  • 发表日期：

    2025年

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  • Peter V. Dovbush,
  • Steven G. Krantz

摘要

A smooth function in a closed domain \(\overline {\varOmega }\subset \mathbb {C}\) can be expressed using the Cauchy-Green-Pompéiu formula (see, for example Gohberg and Leiterer (Holomorphic operator functions of one variable and applications, Operator Theory: Advances and Applications, vol. 192. Birkhäuser Verlag, Basel, 2009, Chapter 2, Section 2.1, 29)).