The Bergman kernel for the Vekua equation

Published 7 Aug 2018 in math.AP | (1808.02566v1)

Abstract: 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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