Research

17- Guella J.C. and  Jäger J.. Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach. Positivity (2024)

16- Guella J.C.. Generalization of the HSIC and distance covariance using PDI kernels. Banach Journal of Mathematical Analysis (2023)

15-Guella J.C.. Generalization of the Energy Distance by Bernstein Functions Journal of Theoretical Probability (2022)

14-Guella J.C.. On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces. Journal of Approximation Theory (2022)

13-Guella J.C. Operator-valued positive definite kernels and differentiable universality Analysis and Applications (2022)

12 - Guella, J. C. and  Menegatto, V. A.. Conditionally Positive Definite Matrix Valued Kernels on Euclidean Spaces. Constructive Approximation (2020).

11 - Guella, J. C. and  Menegatto, V. A.. Positive definite matrix functions on spheres defined by hypergeometric functions. Integral Transforms and Special Functions (2019)

10 -  Bonfim, Rafaela N.,  Guella, Jean C. and  Menegatto, Valdir A.. Strictly positive definite functions on compact two-point homogeneous spaces: the product alternative. (SIGMA) Symmetry, Integrability and Geometry: Methods and Applications (2018)

9 - Guella, J. C. and  Menegatto, V. A. Schoenberg's theorem for positive definite functions on products: a unifying framework.  Journal of Fourier Analysis and Applications (2019)

8 - Guella, Jean Carlo, Menegatto, Valdir Antonio and Porcu, Emilio. Strictly positive definite multivariate covariance functions on spheres. Journal of Multivariate Analysis (2018)

7 - Guella, J. C. and  Menegatto, V. A. A limit formula for semigroups defined by Fourier-Jacobi series. Proceedings of the  American  Mathematical Society  (2018)

6 - Guella, J. C. and  Menegatto, V. A. Unitarily invariant strictly positive definite kernels on spheres. Positivity (2018)

5 - Guella, J. and  Menegatto, V. A. Strictly positive definite kernels on the torus. Constructive Approximation  (2017)

4 - Guella, J. C., Menegatto, V. A. and Peron, A. P.. Strictly positive definite kernels on a product of circles. Positivity (2017)

3 - Guella, Jean C., Menegatto, Valdir A. and Peron, Ana P.. Strictly positive definite kernels on a product of spheres II. (SIGMA) Symmetry, Integrability and Geometry: Methods and Applications  (2016)

2 - Guella, J. C., Menegatto, V. A. and  Peron, A. P.. An extension of a theorem of Schoenberg to products of spheres.  Banach Journal of Mathematical Analysis  (2016)

1 - Guella, J. C. and Menegatto, V. A.. Strictly positive definite kernels on a product of spheres. Journal of Mathematical Analysis and Applications  (2016)