Solution of the ∂ ¯ $$\overline {\partial }$$ Problem

Peter V. Dovbush and Steven G. Krantz
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Peter V. Dovbush: Moldova State University, Institute of Mathematics and Computer Science
Steven G. Krantz: Washington University in St. Louis, Mathematics, CB 1146

Chapter Chapter 18 in The Geometric Theory of Complex Variables, 2025, pp 409-416 from Springer

Abstract: Abstract A smooth function in a closed domain Ω ¯ ⊂ ℂ $$\overline {\varOmega }\subset \mathbb {C}$$ 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)).

Date: 2025
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DOI: 10.1007/978-3-031-77204-7_18

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