Analysis of integral operators generated by positive definite kernels
Eigenvalues of integral operators generated by kernels satisfying a holder conditi...
Eigenvalues of integral operators generated by kernels satisfying abstract Hölder ...
Grant number: | 14/00277-5 |
Support Opportunities: | Regular Research Grants |
Duration: | June 01, 2014 - May 31, 2016 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Valdir Antonio Menegatto |
Grantee: | Valdir Antonio Menegatto |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
Positive definite kernels and integral operators generated by them enter as important tools in the formulation of many problems in pure and applied mathematics. These problems intersect many research areas, including approximation theory, functional analysis, classical analysis, learning theory, etc. This proposal encompasses the resolution of problems aligned with the following topics: reproducing kernel Hilbert spaces, decay rates for eigenvalues of positive integral operators, differentiability of positive definite kernels, recovery of kernels via integration and characterization of some classes of positive definite kernels. The proposer has previous experience in these topics, which can be ratified by his many relevant publications in the area. (AU)
Articles published in Agência FAPESP Newsletter about the research grant: |
TITULO |
Articles published in other media outlets (0 total): |
More itemsLess items |
VEICULO: TITULO (DATA) |
VEICULO: TITULO (DATA) |