CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1992), master's at Mathematics from Universidade de São Paulo (1995) and doctorate at Mathematics from Universidade de São Paulo (2000). Has experience in Mathematics, acting on the following subjects: positive definite functions and strictly positive definite functions. (Source: Lattes Curriculum)
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The aim of this project is to obtain new results related to two lines of research: walks through the dimensions by positive definite functions and characterization of positive definite functions. The walks through the dimensions are related to certain differential and integral operators, usually called Descente and Montée, which preserve the positive definiteness of the functions changi…
The aim of this project is to obtain new results related to two lines of research: differentiability of positive definite functions (PD) and characterization of strictly positive definite functions (SPD). Recently, Buescu and Paixão ([BP11]) proved that given a PD function in $\mathbb{R}$, if some even order derivative in the origin is zero, then the function is constant, and they also …
This project aims to introduce the student to the study of Spherical Analysis as well as to the investigation in one of the lines of research in this area, which strongly involves positive definite functions in real spheres. These functions appear in many applications, such as geostatistics, probability, Fourier analysis, interpolation problems.The characterization of positive definite fu…
In this project we propose to study the Hahn-Banach's theorem and some other fundamental results, such as, the uniform boundedness principle, the open mapping theorem and the closed graph theorem.
In this project we propose to study important concepts of Functional Analysis and introduce some notion of Approximation Theory. (AU)
Recently, Guella & Menegatto & Peron and Berg & Porcu obtained results about the characterization of continuous, positive definite, complex valued kernels defined in the product of two real spheres and in the product of real spheres with a locally compact group. Results about strict positive definiteness were also proved for some of these kernels and for matrix valued functions defined…
| 4 / 2 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 8 / 6 | All research grants and scholarships |
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