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arxiv: 1808.02566 · v1 · pith:CTSNNY4Tnew · submitted 2018-08-07 · 🧮 math.AP

The Bergman kernel for the Vekua equation

classification 🧮 math.AP
keywords bergmanequationkerneloverlinevekuaanalyticconstructioncorresponding
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The paper extends some well-known results for analytic functions onto solutions of the Vekua equation $\partial _{\overline{z}}W=aW+b\overline{W}$ regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.

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