| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Fed Uberlandia, Dept Matemat, Uberlandia, MG - Brazil
[2] ICMC USP, Dept Matemat, Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Computational and Applied Mathematics; v. 364, JAN 15 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper brings results about the behavior of sequences of eigenvalues or singular values of integral operators generated by square-integrable kernels on the real m-dimensional unit sphere, m >= 2. Under smoothness assumptions on the generating kernels, given via Laplace-Beltrami differentiability, we obtain super-exponential decay rates for the eigenvalues of the generated positive integral operators and for singular values of those integral operators which are non-positive. We show an optimal-type result and provide a list of parametric families of kernels which are of interest for numerical analysis and geostatistical communities and satisfy the smoothness assumptions for the positive case. (C) 2019 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/09906-0 - Harmonic analysis, approximation theory and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/02847-9 - Characterizations of fractional order K-functionals and its applications |
| Grantee: | Thaís Jordão |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/07442-0 - K-functionals of fractional orders and moduli of smoothness on a general setting |
| Grantee: | Thaís Jordão |
| Support Opportunities: | Scholarships abroad - Research |