Resumen de On basicity of systems of generalized Faber polynomials

Bilal T. Bilalov, T. I. Najafov

• In this paper a double system of generalized Faber polynomials with complex-valued coefficients is considered. Under certain conditions on the coefficients, the basicity of this system is proved in Lebesgue spaces Lp (Γ), 1 < p < +∞, where Γ is a Lyapunov or Radon curve on the complex plane. Besides, basicity of systems of generalized Faber polynomials is proved in Smirnov spaces Ep.