Sets of uniqueness
Sets of uniqueness on noncommutative locally compact groups. II
Sharp Inequalities and Geometric Manifolds.
Sharp Inequalities for Weyl Operators and Heisenberg Groups.
Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
In the context of the spaces of homogeneous type, given a family of operators that look like approximations of the identity, new sharp maximal functions are considered. We prove a good-λ inequality for Muckenhoupt weights, which leads to an analog of the Fefferman-Stein estimate for the classical sharp maximal function. As a consequence, we establish weighted norm estimates for certain singular integrals, defined on irregular domains, with Hörmander conditions replaced by some estimates which do...
Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups
Sharp results for the mean summability of Fourier series on compact Lie groups.
Sharpness of Young's inequality for convolution.
Shift-modulation invariant spaces on LCA groups
A (K,Λ) shift-modulation invariant space is a subspace of L²(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Ĝ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for . We develop fiberization techniques and suitable range functions adapted to LCA groups...
Sidon sets and Bohr cluster points
It is shown that a Sidon set cannot have an integer cluster point in the Bohr topology.
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.