| Grant number: | 14/06209-1 |
| Support Opportunities: | Regular Research Grants |
| Start date: | June 01, 2014 |
| End date: | May 31, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Thaís Jordão |
| Grantee: | Thaís Jordão |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
In this project it is intended, mainly, two targets described in the box bellow. Results related to the first one has turned out extremely efficient in the study of decay rates of eigenvalues of integral operators generated by smooth kernels on the sphere.Related to second target, such characterizations are highly important in Approximation Theory, where one of the most important problem is to feature the best approximation of a function by more simple functions (in the meaning of smoothness). This kind of characterization has its version for functions defined on the euclidian space and it employed spherical mean operator and Riesz-Bochner means. However, on the spherical setting is still an open problem. (AU)
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