Sidon sets and Fourier-Stieltjes transforms of some prime L-ideals.
Sidon sets and -sets
Sidon sets and Riesz products
Let be a compact abelian group and the dual group. It is shown that if is a Sidon set, then the interpolating measures on can be obtained as mean of Riesz products. If is a Sidon set tending to infinity, is of first type. Our approach yields in fact elementary proofs of certain characterizations of Sidonicity obtained in G. Pisier, C.R.A.S., Paris Ser. A, 286 (1978), 1003–1006 – Math. Anal. and Appl., Part B, Advances in Math., Suppl. Sts. vol. 7, 685-726 – preprint, using random Fourier...
Sidon sets and Riesz sets for some measure algebras on the disk
Sidon sets for the disk polynomial measure algebra (the continuous disk polynomial hypergroup) are described completely in terms of classical Sidon sets for the circle; an analogue of the F. and M. Riesz theorem is also proved.
Sidon sets in dual objects of compact groups
Sidon sets in Rn.
Sidon Sets on Compact Groups.
Sidonicity in compact, abelian hypergroups
Sigma-idéaux polaires et ensembles d'unicité dans les groupes abéliens localement compacts
On étend au cadre des groupes abéliens localement compacts certains résultats obtenus notamment par G. Debs, R. Kaufman, A. Kechris, A. Louveau et J. Saint Raymond sur la structure des fermés d’unicité et d’unicité au sens large du cercle unité. On montre également que de très nombreuses familles de compacts issues de l’Analyse Harmonique sont exactement de troisième classe dans la hiérarchie de Baire. Comme application, on donne une démonstration simple de l’existence d’ensembles de Dirichlet qui...
Silva distributions for certain locally compact groups.
Singular integral operators with non-smooth kernels on irregular domains.
Let χ be a space of homogeneous type. The aims of this paper are as follows.i) Assuming that T is a bounded linear operator on L2(χ), we give a sufficient condition on the kernel of T such that T is of weak type (1,1), hence bounded on Lp(χ) for 1 < p ≤ 2; our condition is weaker then the usual Hörmander integral condition.ii) Assuming that T is a bounded linear operator on L2(Ω) where Ω is a measurable subset of χ, we give a sufficient condition on the kernel of T so that T is of weak type...
Singular integrals on homogeneous spaces and some problems of classical analysis
Singular integrals on Iwasawa NA groups of rank 1.
Singular integrals on the complex affine group
Singular integrals supported on submanifolds
Singular invariant measures on the line
Singular kernels supported by homogeneous submanifolds.
Sizes of quotient spaces of certain function algebras on topological semigroups
Small sets and a class of general functions.
Small sets in the support of a Fourier-Stieltjes transform