Ana Paula Peron
Universidade Estadual de Maringá
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Publication
Featured researches published by Ana Paula Peron.
Journal of Complexity | 2008
J. C. Ferreira; V. A. Menegatto; Ana Paula Peron
We consider integral operators on the unit sphere generated by positive definite kernels. Under smoothness conditions of Lipschitz-type on the kernel, we obtain a decay rate for the eigenvalues of the integral operator. The approach we have chosen is a multi-dimensional version, adapted to the spherical setting, of a known procedure used in the analysis of a similar problem for integral operators on the interval [0, 1]. In addition to spectral theory, the critical arguments in the paper involve the use of special covers of the sphere generated by quadrature formulas. The estimates themselves are comparable to others in the literature.
Computers & Mathematics With Applications | 2006
V. A. Menegatto; C. P. Oliveira; Ana Paula Peron
Let (z, w) @? @? x @? (zw) be a positive definite kernel and B a subset of @?. In this paper, we seek conditions in order that the restriction (z, w) @? B x B(zw) be strictly positive definite. Since this problem has been solved recently in the cases in which B is either @? or the unit circle in @?, our purpose here is twofold: to present some results we obtained when attempting to solve the problem for the above and other choices of B and to acquaint the audience with some other questions that remain. For two different classes of subsets, we completely characterize the strict positive definiteness of the kernel. We include a complete discussion of the case in which B is the unit circle of @?, making a comparison with the classical problem of strict positive definiteness on the real circle.
Banach Journal of Mathematical Analysis | 2016
J. C. Guella; V. A. Menegatto; Ana Paula Peron
We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere. We also discuss a few issues regarding the characterization, including topics for future investigation.
Journal of Applied Analysis | 2009
V. A. Menegatto; C. P. Oliveira; Ana Paula Peron
Abstract We analyze term-by-term differentiability of uniformly convergent series of the form , where Sm –1 is the unit sphere in , and {Yk } is a sequence of spherical harmonics or even more general functions. Since this class of kernels includes the continuous positive definite kernels on Sm –1, the results in this paper will show that, under certain conditions, the action of convenient differential operators on positive definite (strictly positive definite) kernels on Sm –1 generate positive definite kernels.
Positivity | 2017
J. C. Guella; V. A. Menegatto; Ana Paula Peron
We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles. In other words, if
BMC Complementary and Alternative Medicine | 2013
Ana Paula Peron; Rosinete Gonçalves Mariucci; Igor Vivian de Almeida; Elisângela Düsman; Mário Sérgio Mantovani; Veronica Elisa Pimenta Vicentini
International Journal of Mathematics and Mathematical Sciences | 2002
V. A. Menegatto; Ana Paula Peron
S^1
Environmental Monitoring and Assessment | 2017
João Marcelo de Castro e Sousa; Ana Paula Peron; Louridânya da Silva e Sousa; Mércia de Moura Holanda; Ataíde de Macedo Vieira Lima; Vitor Alves de Oliveira; Felipe Cavalcanti Carneiro da Silva; Leonardo Henrique Guedes de Morais Lima; Leomá Albuquerque Matos; Sandra Maria Mendes de Moura Dantas; Raí Pablo Sousa de Aguiar; Muhammad Torequl Islam; Ana Amélia de Carvalho Melo-Cavalcante; Claudia Costa Bonecker; Horácio Ferreira Júlio Júnior
Food Science and Technology International | 2015
Gleuvânia Santana Marques; Sara Iolanda de Oliveira da Silva; João Marcelo de Castro e Sousa; Paulo Michel Pereira Ferreira; Ana Paula Peron
S1 is the unit circle in
Integral Transforms and Special Functions | 2001
V. A. Menegatto; Ana Paula Peron
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Dive into the Ana Paula Peron's collaboration.
Ana Amélia de Carvalho Melo-Cavalcante
Universidade Federal do Rio Grande do Sul
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