Geodesic
Some remarks on Bochner-Riesz means
Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 217-230.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study $L^p$ norm convergence of Bochner-Riesz means $S_R^δ f$ associated with certain non-negative differential operators. When the kernel $S_R^m(x,y)$ satisfies a weak estimate for large values of m we prove $L^p$ norm convergence of $S_R^δ f$ for δ > n|1/p-1/2|, 1 p ∞, where n is the dimension of the underlying manifold.
DOI : 10.4064/cm-83-2-217-230
Keywords: unitary representations, Schrödinger operators, Bochner-Riesz means, nilpotent groups, Rockland operators, Heisenberg group, summability

S. Thangavelu 1

1 
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S. Thangavelu. Some remarks on Bochner-Riesz means. Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 217-230. doi : 10.4064/cm-83-2-217-230. http://geodesic.mathdoc.fr/articles/10.4064/cm-83-2-217-230/

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