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The Bergman kernel for the Vekua equation |
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| Authors: | Hugo M. Campos Vladislav V. Kravchenko |
| Affiliation: | 1. School of Mathematical Sciences and Information Technology, Yachay Tech University, Urcuqui, Ecuador;2. Department of Mathematics, CINVESTAV del IPN, Queretaro, Mexico |
| Abstract: | The paper extends some well-known results for analytic functions onto solutions of the Vekua equation regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator. |
| Keywords: | Bergman kernel generalizations of Bers or Vekua type generalized analytic functions pseudoanalytic functions Vekua equation |