Publicações:
(29) Emery, X., Peron, A.P. and Porcu, E.,
Dimension Walks over Hyperspheres. Computational
and Applied Mathematics. Accepted. (2021).
(28) Bachoc,
F., Peron, A. and Porcu, E., Multivariate Gaussian
Random Fields over Generalized Product Spaces involving the Hypertorus.
Theory of Probability and Mathematical Statistics. Accepted. (2021).
(27) 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).
https://doi.org/10.1007/s00365-020-09499-x.
(accepted
manuscript)
(26) 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). https://doi.org/10.1007/s00477-020-01796-y.
(accepted
manuscript)
(25) 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). https://doi.org/10.1016/j.cam.2019.06.050.
(accepted
manuscript)
(24) Castro, M. H., Massa E., Peron,
A. P., Characterization of Strict Positive Definiteness on products of complex
spheres, Positivity (2019) 23:853-879. doi:10.1007/s11117-018-00641-5. (accepted
manuscript)
(23) 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). https://doi.org/10.1007/s00477-018-1576-3.
(accepted
manuscript)
(22) 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, https://doi.org/10.1016/j.jat.2018.02.003. (accepted
manuscript)
(21) 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, https://doi.org/10.1016/j.exmath.2017.10.005. (accepted
manuscript)
(20) 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:1704.01237v2
(19) 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 (DOI
10.1007/s10476-017-0105-9). (accepted
manuscript)
(18) 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.
(17) Guella, J. C.; Menegatto, V. A.;
Peron, A. P., Strictly positive definite kernels on a product of circles,
Positivity 21 (2017), no. 1, 329–342.
(16) Guella, J. C.; Menegatto,
V. 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).
(LD).
Peron, A. P., Funções e núcleos positivos definidos,
Texto de Livre Docência, ICMC-USP, 2014.
(15) Castro, M.
H., Menegatto, V. 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.
(14) Castro,
M. H., Menegatto,
V. 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).
(13) Menegatto, V. 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).
(12) Menegatto, V.A., Oliveira, C.P., Peron,
A.P., On the
construction of uniformly convergent disk polynomial expansions, Collectanea Mathematica,
62 (2011), no. 2, 151-159.
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).
(11)
Menegatto, V. A.; Oliveira C. P.; Peron, A. P., Differentiable positive definite kernels on spheres,
Journal of Applied Analysis, 15 (2009) no. 1, 101-117.
(10) Ferreira,
J. C.; Menegatto,
V. A.; Peron, A.
P., Integral operators on the sphere generated by positive
definite smooth kernels, Journal of Complexity,
24 (2008), 632-647.
(9) Menegatto,
V. A.; Peron, A.
P.; Oliveira, C. P., On conditionally positive definite dot product kernels,
Acta Mathematica Sinica, 24 (2008), no. 7, 1127-1138.
(8)
Menegatto, V. 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.
(7) Menegatto, V. A.; Oliveira C.
P.; Peron, A. P., Conditionally positive definite dot product kernels.
J. Math. Anal. Appl., 321 #1 (2006), 223 – 241.
(6) Menegatto, V. A.; Oliveira C. P.;
Peron, A. P., Operators associated with conditionally positive
definite kernels. Indagationes
Mathematicae., 15
(2004), no. 3, 357 - 371.
(5)
Menegatto, V. A.; Peron, A. P., Conditionally positive definite kernels on Euclidean
domains. J. Math. Anal. Appl., 294 (2004) 345-359.
(4) Menegatto, V. A.; Peron, A. P., Strict positive
definiteness on spheres via disk polynomials. Int. J. Math. Math. Sci., 31 (2002), no. 12, 715-724.
(3) Menegatto, V. A.; Peron, A. P., Positive definite kernels on complex spheres.
J. Math. Anal. Appl., 254 (2001), no. 1,
219-232.
(2) Menegatto, V. A.; Peron,
A. P., A complex approach to strict positive definiteness on
spheres. Integral Transform. Spec. Funct., 11 (2001), no. 4, 377-396.
(D). Peron, A. P., Funções positivas definidas para interpolação em
esferas complexas, Tese de doutorado, ICMC-USP, 2001.
(1)
Menegatto, V. 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.
(M). Peron, A. P., Interpolação no círculo
usando funções condicionalmente negativas definidas. Dissertação de
Mestrado, ICMC-USP, 1995.
Última atualização:
janeiro/2022.