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| Author(s): |
Jean Carlo Guella
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2015-03-31 |
| Examining board members: |
Valdir Antonio Menegatto;
Dimitar Kolev Dimitrov;
Sergio Antonio Tozoni
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| Advisor: | Valdir Antonio Menegatto |
| Abstract | |
In this work we present a proof for a famous theorem of Schoenberg on positive definite functions on spheres. We analyze some results that deduce positive definiteness from diferentiability and convexity assumption on the function, an attempt to ratify some Pólya type conjectures found in the literature. (AU) | |
| FAPESP's process: | 12/22161-3 - Strictly positive definite kernels on the sphere: an analysis of the recent results. |
| Grantee: | Jean Carlo Guella |
| Support Opportunities: | Scholarships in Brazil - Master |