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| Author(s): |
Douglas Azevedo Sant'Anna
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2013-02-25 |
| Examining board members: |
Valdir Antonio Menegatto;
Messias Meneguette Junior;
Ana Paula Peron;
Alagacone Sri Ranga;
Joedson Silva dos Santos
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| Advisor: | Valdir Antonio Menegatto |
| Abstract | |
The main target in this work is to deduce eigenvalue decay for integral operators generated by power series kernels, under general assumptions on the coefficients in the series representing the kernel. The analysis is twofold: firstly, we consider generating kernels defined on the unit sphere in \'R POT. m+1\', replacing the sphere with the unit ball in a subsequent stage. Secondly, we consider generating kernels defined on a general measure space (X, u) and possessing an \'L POT. 2\'(X, u)-orthogonal expansion there, an attempt to cover the case in which the kernel is defined on the unit sphere in \'C POT. m+1\' (AU) | |
| FAPESP's process: | 10/00478-0 - Decay rates for eigenvalues of positive integral operators on the sphere. |
| Grantee: | Douglas Azevedo Sant 'Anna |
| Support Opportunities: | Scholarships in Brazil - Doctorate |