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- 2Spherical h-harmonics
- 1Almost everywhere convergence
- 1Ball
- 1Cesàro means
- 1Jacobi polynomials
- 1Maximal Cesaro means
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Estimates of the maximal Cesaro operators of the weighted orthogonal polynomial expansions in several variables
DownloadFall 2013
Estimates of the maximal Cesaro means at the "critical index'' are established for the orthogonal polynomial expansions (OPEs) with respect to the weight function on the unit sphere. These estimates allow us to improve several known results in this area, including the almost everywhere (a.e.)...
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Positive definite functions and spherical h-harmonic expansions with negative indices on spheres
DownloadFall 2021
This thesis consists of the following two parts: In the first part, we investigate the relationship between positive definite functions on the unit sphere and in the Euclidean space with the same dimensions. For the dimension d is odd, a new technique is developed to establish the inheritance of...
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