Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups
Sets of uniform convergence
Stability results for scattered data interpolation on the rotation group.
Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
The martingale Hardy space and the classical Hardy space are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from to (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified and a...
Summability and integrability of Vilenkin series.