On Bohr cluster sets
On concentrated sets and N-sets
On Ditkin sets
In the study of spectral synthesis S-sets and C-sets (see Rudin [3]; Reiter [2] uses the terminology Wiener sets and Wiener-Ditkin sets respectively) have been discussed extensively. A new concept of Ditkin sets was introduced and studied by Stegeman in [4] so that, in Reiter’s terminology, Wiener-Ditkin sets are precisely sets which are both Wiener sets and Ditkin sets. The importance of such sets in spectral synthesis and their connection to the C-set-S-set problem (see Rudin [3]) are mentioned...
On harmonic separation
On Hilbert sets and -spaces with no subspace isomorphic to
On inclusions between Arbault sets
On partitioning Sidon sets with quasi-independent sets
On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.
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...