Criteria for absolute convergence of fourier series.- Fractional cartesian products in harmonic analysis.- On a regularity condition for group algebras of non abelian locally compact groups.- Singular positive definite functions.- Jensen measures, subharmonicity, and the conjugation operation.- Two constructions in BMO.- Maximal function characterization of Hp for the bidisc.- Harmonic analysis based on crossed product algebras and motion groups.- Sur le treizieme probleme de Hilbert, le theoreme de superposition de Kolmogorov et les sommes algebriques d'arcs croissants.- Ivašev mustov in many dimensions.- Bemerkungen über Linksideale in Gruppenalgebren.- C? parametrix on lie groups and two steps factorization on convolution algebras.- Distance and volume decreasing theorems for a family of harmonic mappings of riemannian manifolds.- On the L' norm of exponential sums.- Symmetry (or simple modules) of some banach algebras.- Some problems on spectral synthesis.- On spectral analysis in locally compact groups.