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math.AP2024
Bergman spaces and reproducing kernel for the biquaternionic Vekua equation
Víctor A. Vicente-Benítez
We analyze the main properties of the Bergman spaces of weak - solutions for a biquaternionic Vekua equation of the form \[ \mathbf{D}w(x)-\mathbf{Q}_Aw(x)=0 \] on bounded dom…
math.AP2024
Bergman spaces for the bicomplex Vekua equation with bounded coefficients
Víctor A. Vicente-Benítez
We develop the theory for the Bergman spaces of generalized -solutions of the bicomplex-Vekua equation on bounded domains,…