On sets of completely uniform convergence
On the Charshiladze-Lozinski Theorem for Compact Topological Groups and Homogeneous Spaces.
Pointwise convergence of Fourier series on compact Lie groups
Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on and on compact Lie groups)
We study polyhedral Dirichlet kernels on the n-dimensional torus and we write a fairly simple formula which extends the one-dimensional identity . We prove sharp results for the Lebesgue constants and for the pointwise boundedness of polyhedral Dirichlet kernels; we apply our results and methods to approximation theory, to more general summability methods and to Fourier series on compact Lie groups, where we write an asymptotic formula for the Dirichlet kernels.
Random Fourier series on locally compact abelian groups
Sets of uniform convergence
Sharp results for the mean summability of Fourier series on compact Lie groups.
Sidon sets in dual objects of compact groups
Some Fourier transform inversion theorem
Some remarks on sets of uniform convergence
Sur l'espace de Banach des séries de Fourier aléatoires presque sûrement continues
Uniform convergence and decay of Fourier series on compact nilmanifolds
Utilisation des produits de Riesz pour minorer la dimension de Hausdorff de certains ensembles.
Асимптотические оценки элементов матриц обратных операторов и гармонический анализ
Пространства функций обобщенной ограниченной вариации. I. Теоремы вложения. Оценки констант Лебега