We state some equiconvergence results between Bochner Riesz means of expansions in eigenfunctions of suitable Sturm Liouville operators. Then we determine the Hausdorff dimension of the divergence set of Bochner Riesz means of radial functions in Sobolev classes on Euclidean and non Euclidean spaces. © 2013 Springer Science+Business Media New York.
Colzani, L., Volpi, S., Gigante, G. (2013). Equiconvergence Theorems for Sturm Liouville Expansions and Sets of Divergence for Bochner Riesz Means in Sobolev Spaces. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 19(6), 1184-1206 [10.1007/s00041-013-9286-1].
Equiconvergence Theorems for Sturm Liouville Expansions and Sets of Divergence for Bochner Riesz Means in Sobolev Spaces
COLZANI, LEONARDO;
2013
Abstract
We state some equiconvergence results between Bochner Riesz means of expansions in eigenfunctions of suitable Sturm Liouville operators. Then we determine the Hausdorff dimension of the divergence set of Bochner Riesz means of radial functions in Sobolev classes on Euclidean and non Euclidean spaces. © 2013 Springer Science+Business Media New York.
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