Pointwise convergence of double Vilenkin-Fejér means. (English) Zbl 0973.42021
Summary: In this paper we prove that double Cesàro means of an integrable function on the product of bounded Vilenkin groups with respect to any double Vilenkin-type system converge to the function almost everywhere. The convergence is provided that the quotient of the indices is bounded.
MSC:
42C10 | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) |
43A75 | Harmonic analysis on specific compact groups |