​​​​ Jean Carlo Guella

Submitted

​

-Guella, J.C.

  Generalization of the HSIC and distance covariance using positive definite independent kernels

 

 

 

Published

​

15-Guella J.C.

     On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces

     Accepted, (2022)

​

14-Guella J.C.

     Generalization of the Energy Distance by Bernstein Functions

     Journal of Theoretical Probability, (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, 52, 65–92 (2020).

​

11 - Guella, J. C. and  Menegatto, V. A.

       Positive definite matrix functions on spheres defined by hypergeometric functions.

      Integral Transforms and Special Functions 30 (2019), 10, 774-789.

​

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 Applications14 (2018), Paper No. 112, 14 pages.

 

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 25 (2019), 4, 1424–1446.

 

8 -  Guella, Jean Carlo, Menegatto, Valdir Antonio and Porcu, Emilio

     Strictly positive definite multivariate covariance functions on spheres.

      Journal of Multivariate Analysis 166 (2018), 150–159. 

 

7 - Guella, J. C. and  Menegatto, V. A.

     A limit formula for semigroups defined by Fourier-Jacobi series. 

     Proceedings of the  American  Mathematical Society  146 (2018), no. 5, 2027–2038. 

 

6 -  Guella, J. C. and  Menegatto, V. A.

      Unitarily invariant strictly positive definite kernels on spheres.

      Positivity 22 (2018), no. 1, 91–103.

 

5 - Guella, J. and  Menegatto, V. A.

     Strictly positive definite kernels on the torus.

     Constructive Approximation  46 (2017), no. 2, 271–284.

 

4 - Guella, J. C., Menegatto, V. A. and Peron, A. P.

     Strictly positive definite kernels on a product of circles.

     Positivity 21 (2017), no. 1, 329–342.

 

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  12 (2016), Paper No. 103, 15 pp.

 

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  10 (2016), no. 4, 671–685.

 

1 - Guella, J. C. and Menegatto, V. A.

     Strictly positive definite kernels on a product of spheres.

      Journal of Mathematical Analysis and Applications  435 (2016), no. 1, 286–301.