Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups
Separation by characters or positive definite functions.
Separation of unitary representations of exponential Lie groups.
Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact
Series trigonometriques speciales et corps quadratiques
Sesquiregular Measures in Product Spaces and Convolution of Such Measures
Sets of interpolation and small p sets
Sets of interpolation for Fourier transforms of bimeasures
Sets of p-multiplicity in locally compact groups
We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.
Sets of uniform convergence
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.