The Bergman kernel for the Vekua equation

The Bergman kernel for the Vekua equation

The paper extends some well‐known results for analytic functions onto solutions of the Vekua equation ∂z‾W=aW+bW¯ regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-11, Vol.43 (16), p.9448-9454
Hauptverfasser: Campos, Hugo M., Kravchenko, Vladislav V.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Bergman kernel
generalizations of Bers or Vekua type
generalized analytic functions
Kernels
Mathematical analysis
pseudoanalytic functions
Vekua equation
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Beschreibung
Zusammenfassung:The paper extends some well‐known results for analytic functions onto solutions of the Vekua equation ∂z‾W=aW+bW¯ regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6308