We study the almost everywhere convergence of polyhedral Fejer type means. We prove positive results for the n-dimensional Euclidean spaces and tori. We then show that these positive results cannot be extended to the whole setting of compact Lie groups
Brandolini, L., Travaglini, G. (1997). Pointwise convergence of fejer type means. TOHOKU MATHEMATICAL JOURNAL, 49(3), 323-336 [10.2748/tmj/1178225106].
Pointwise convergence of fejer type means
Travaglini, G
1997
Abstract
We study the almost everywhere convergence of polyhedral Fejer type means. We prove positive results for the n-dimensional Euclidean spaces and tori. We then show that these positive results cannot be extended to the whole setting of compact Lie groups
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