Perturbation Classes of Semi-Fredholm Operators.
Perturbations de suites presque-périodiques de nombres réels et mesures étranges sur la droite
Pointwise convergence of the Fourier transform on locally compact abelian groups.
We extend to locally compact abelian groups, Fejer's theorem on pointwise convergence of the Fourier transform. We prove that lim φU * f(y) = f (y) almost everywhere for any function f in the space (LP, l∞)(G) (hence in LP(G)), 2 ≤ p ≤ ∞, where {φU} is Simon's generalization to locally compact abelian groups of the summability Fejer Kernel. Using this result, we extend to locally compact abelian groups a theorem of F. Holland on the Fourier transform of unbounded measures of type q.
Power bounded restrictions of Fourier-Stieltjes transforms.
p-Pseudomeasures and Closed Subgroups.