- Porcu, E., Feng, S.F., Emery, X., Peron, A., Rudin Extension Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time. Bernoulli, Vol. 29, No. 2, 1464-1475 (2023). (arXiv:2204.05032)
- Emery, X., Peron, A., Porcu, E., A catalogue of nonseparable positive semidefinite kernels on the product of two spheres. Stoch. Environ. Res. Risk Assess., 37, 1497-1518 (2023). (accepted manuscript)
- Bachoc, F., Peron, A.P. and Porcu, E., Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus. Theory of Probability and Mathematical Statistics, special issue Theory and Applications of Random Fields, dedicated to Mijaili Yadrenko for his 90th Birthday, 107, pp. 3-14 (2022). (hal-03583410, 2022)
- Porcu, E., Emery, X., Peron, A., Nested Covariance Functions on Graphs with Euclidean Edges cross Time, Eletronic Journal of Statistics, vol. 16 (2), 4222-4246 (2022). (Open acess)
- Barbosa, V.S., Gregori, P., Peron, A.P., Porcu, E., Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces, J. Math. Anal. Appl. 516, no. 1, Paper No. 126487 (2022). (Open access)
- Emery, X., Peron, A.P. and Porcu, E., Dimension Walks over Hyperspheres. Computational and Applied Mathematics, 41, Paper No. 199 (2022). (pdf here)
- Berg, C., Massa, E., Peron, A.P., A family of entire functions connecting the Bessel function J_1 and the Lambert W function, Constructive Approximation 53, no. 1, 121-154 (2021). (accepted manuscript)
- Bissiri, P.G., Peron, A.P. & Porcu, E., Strict positive definiteness under axial symmetry on the sphere. Stoch. Environ. Res. Risk Assess. 34, 723-732 (2020). (accepted manuscript)
- Castro, M. H., Jordão, T., Peron, A. P., Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere, Journal of Computational and Applied Mathematics, Volume 364 (2020). (accepted manuscript)
- Castro, M. H., Massa, E., Peron, A. P., Characterization of Strict Positive Definiteness on products of complex spheres, Positivity (2019) 23:853-879. (accepted manuscript)
- Peron, A., Porcu, E., Emery, X., Admissible nested covariance models over spheres cross time, Stoch. Environ. Res. Risk Assess, Volume 32(11), pp 3053-3066 (2018). (accepted manuscript)
- Berg, C., Peron, A. P., Porcu, E., Schoenberg's theorem for real and complex Hilbert spheres revisited, Journal of Approximation Theory 228 (2018), 58-78, (accepted manuscript)
- Berg, C., Peron, A. P., Porcu, E., Orthogonal expansions related to compact Gelfand pairs, Expo. Math. (2018), Volume 36, Issues 3-4, p. 259-277, (accepted manuscript)
- Massa, E., Peron, A. P., Porcu, E., Positive Definite Functions on Complex Spheres and their Walks through Dimensions, SIGMA 13 (2017), 088, 16 pages. (arXiv:1704.01237)
- Massa, E., Peron, A. P., Piantella, A. C., Estimates on the derivatives and analyticity of positive definite functions on R^m, Analysis Mathematica, 43(1) (2017), 89-98. (pdf here)
- Guella, Jean C.; Menegatto, Valdir A.; Peron, Ana P., Strictly positive definite kernels on a product of spheres II. SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), 103, 15 pages. (arXiv:1605.09775)
- Guella, Jean C.; Menegatto, Valdir A.; Peron, A. P., Strictly positive definite kernels on a product of circles, Positivity 21 (2017), no. 1, 329-342. (pdf here)
- Guella, Jean C.; Menegatto, Valdir A.; Peron, A. P., An extension of a theorem of Schoenberg to products of spheres. Banach J. Math. Anal., v. 10, no. 4, 671-685 (2016).
- Castro, M. H., Menegatto, Valdir A.; Peron, A. P., Traceability of positive integral operators in the absence of a metric Banach Journal of Mathematical Analysis, 6 (2012) no. 2, 99-113. (pdf here)
- Castro, M. H., Menegatto, Valdir A.; Peron, A. P., Integral operators generated by Mercer-like kernels on topological spaces, Colloq. Math., 126 (2012), 125-138 (DOI: 10.4064/cm126-1-9).
- Menegatto, Valdir A.; Oliveira, C. P., Peron, A. P., Exact point-distributions over the complex sphere, Des. Codes Cryptogr., 60 (2011) no. 3, 203-223 (DOI: 10.1007/s10623-010-9425-5). (pdf here)
-
Menegatto, Valdir A.;
Oliveira, C. P.,
Peron, A.P.,
On the construction of
uniformly convergent disk polynomial expansions,
Collectanea Mathematica, 62 (2011), no. 2, 151-159.
(pdf here)
Erratum to: On the construction of uniformly convergent disk polynomial expansions, Collectanea Mathematica, 63 (2012), no. 3, 403-404 (DOI: 10.1007/s13348-012-0064-1). (pdf here) - Menegatto, Valdir A.; Oliveira, C. P. Peron, A. P., Differentiable positive definite kernels on spheres, Journal of Applied Analysis, 15 (2009) no. 1, 101-117.
- Ferreira, J. C.; Menegatto, Valdir A.; Peron, A. P., Integral operators on the sphere generated by positive definite smooth kernels, Journal of Complexity, 24 (2008), 632-647.
- Menegatto, Valdir A.; Peron, A. P.; Oliveira, C. P., On conditionally positive definite dot product kernels, Acta Mathematica Sinica, 24 (2008), no. 7, 1127-1138. (pdf here)
- Menegatto, Valdir A.; Oliveira, C. P.; Peron, A. P., Striclty positive definite kernels on subsets of the complex plane. Comp Math. Appl., 51 #8 (2006),1233 - 1250.
- Menegatto, Valdir A.; Oliveira, C. P.; Peron, A. P., Conditionally positive definite dot product kernels. J. Math. Anal. Appl., 321 #1 (2006), 223 - 241.
- Menegatto, Valdir A.; Oliveira, C. P.; Peron, A. P., Operators associated with conditionally positive definite kernels. Indagationes Mathematicae., 15 (2004), no. 3, 357 - 371.
- Menegatto, Valdir A.; Peron, A. P., Conditionally positive definite kernels on Euclidean domains. J. Math. Anal. Appl., 294 (2004) 345-359.
- Menegatto, Valdir A.; Peron, A. P., Strict positive definiteness on spheres via disk polynomials. Int. J. Math. Math. Sci., 31 (2002), no. 12, 715-724.
- Menegatto, Valdir A.; Peron, A. P., Positive definite kernels on complex spheres. J. Math. Anal. Appl., 254 (2001), no. 1, 219-232.
- Menegatto, Valdir A.; Peron, A. P., A complex approach to strict positive definiteness on spheres. Integral Transform. Spec. Funct., 11 (2001), no. 4, 377-396.
- Menegatto, Valdir A.; Peron, A. P., Generalized interpolation on spheres using positive definite and related functions. Numer. Funct. Anal. Optim., 18 (1997), no. 1-2, 189-200.
- Peron, A. P., Funções e núcleos positivos definidos, Texto de Livre Docência, ICMC-USP, 2014.
- Peron, A. P., Funções positivas definidas para interpolação em esferas complexas, Tese de doutorado, ICMC-USP, 2001.
- Peron, A. P., Interpolação no círculo usando funções condicionalmente negativas definidas, Dissertação de Mestrado, ICMC-USP, 1995.
Ana Peron's articles on arXiv
Contato:
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