Factorization of Lipschitz Functioins and Absolute Convergence of Vilenkin-Fourier Series.
Fejer kernels for Fourier series on Tn and on compact Lie groups.
Fermés d'unicité dans les groupes abéliens localement compacts
Fine Groupings and Divergence of Approximation Processes on Compact Topological Groups.
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.