On sets of completely uniform convergence
On some properties of the class of stationary sets
Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
On the complexity of H sets of the unit circle
On the Hausdorff-Young Theorem for Amalgams.
On the Structure of Sidon Sets.
On the theorem of F. and M. Riesz
On Transformation of Exceptional sets
On vector-valued inequalities for Sidon sets and sets of interpolation
Let E be a Sidon subset of the integers and suppose X is a Banach space. Then Pisier has shown that E-spectral polynomials with values in X behave like Rademacher sums with respect to -norms. We consider the situation when X is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if E is a set of interpolation (-set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus if X is restricted...
Perturbations de suites presque-périodiques de nombres réels et mesures étranges sur la droite
Pompeiu Sets in Compact Heisenberg Manifolds.
Propriétés de décomposition pour les ensembles de Sidon
Propriétés géométriques des sous-espaces invariants par translation de et
Quelques observations concernant les ensembles de Ditkin d'un groupe localement compact.
Rademacher variables in connection with complex scalars.
Random weighted Sidon sets
We investigate random Sidon-type sets in which the degrees of the representations are weighted. These variants of Sidon sets are of interest as there are compact non-abelian groups which admit no infinite Sidon sets. In this note we determine the largest weight function such that infinite random weighted Sidon sets exist in all infinite compact groups.
Recurrent and weakly recurrent points in G.
Relationships between families of thin sets
Relatively weak* closed ideals of A(G), sets of synthesis and sets of uniqueness
Let G be a locally compact amenable group, and A(G) and B(G) the Fourier and Fourier-Stieltjes algebras of G. For a closed subset E of G, let J(E) and k(E) be the smallest and largest closed ideals of A(G) with hull E, respectively. We study sets E for which the ideals J(E) or/and k(E) are σ(A(G),C*(G))-closed in A(G). Moreover, we present, in terms of the uniform topology of C₀(G) and the weak* topology of B(G), a series of characterizations of sets obeying synthesis. Finally, closely related to...
Remark on Fourier-Stieltjes transforms of continuous measures
Remark on Herz-Schur Multipliers on Free Groups.