On a family of weighted spaces
On a linear functional equation.
On Fourier Stieltjes Transforms of Discrete measures.
On Fourier-Stieltjes transforms integer-valued on a given subset.
On harmonic separation
On integer-valued Fourier-Stieltjes transforms on a LCA group with a certain direction.
On Ito-Nisio type theorems for DS-groups.
On the Convergence and Divergence Behaviour of Approximation Processes in Homogeneous Banach Spaces.
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the Hausdorff-Young Theorem for Amalgams.
On the relationships between Fourier-Stieltjes coefficients and spectra of measures
We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group with Fourier coefficients taking values in this set has a natural spectrum. For measures with Fourier coefficients tending to 0 we construct an open set with this property. We also give an example of a singular measure whose spectrum is contained in our set.
On the structure of monoids of admissible translates of probability measures.
On the vector-valued Fourier transform and compatibility of operators
Let be a locally compact abelian group and let 1 < p ≤ 2. ’ is the dual group of , and p’ the conjugate exponent of p. An operator T between Banach spaces X and Y is said to be compatible with the Fourier transform if admits a continuous extension . Let denote the collection of such T’s. We show that for any and positive integer n. Moreover, if the factor group of by its identity component is a direct sum of a torsion-free group and a finite group with discrete topology then .
On the Wiener-Eberlein theorem
On Weyl Operators over Locally Compact Abelian Groups.
Opérateurs pseudo-différentiels sur certains groupes totalement discontinus