@misc{Karagulyan_Grigori_A._On, author={Karagulyan, Grigori A.}, address={Երևան}, howpublished={online}, publisher={ՀՀ ԳԱԱ հրատ.}, abstract={We investigate the class of sequences ()wn that can serve as almost-everywhere convergence Weyl multipliers for all rearrangements of multiple trigonometric systems. We show that any such sequence must satisfy the bounds 2log( )logn wnn. Our main result establishes a general equivalenceprinciple between one-dimensional and multidimensional trigonometric systems, which allows one to extend certain estimates known for the one-dimensional case to higher dimensions.}, type={Հոդված}, title={On UC-multipliers for multiple trigonometric systems}, keywords={Mathematics}, }