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Dive into the research topics where Ana Paula Peron is active.

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Featured researches published by Ana Paula Peron.


Journal of Complexity | 2008

Integral operators on the sphere generated by positive definite smooth kernels

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

Strictly positive definite kernels on subsets of the complex plane

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

An extension of a theorem of Schoenberg to products of spheres

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

Differentiable positive definite kernels on spheres

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

Strictly positive definite kernels on a product of circles

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

Evaluation of the cytotoxicity, mutagenicity and antimutagenicity of a natural antidepressant, Hypericum perforatum L. (St. John's wort), on vegetal and animal test systems.

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

STRICT POSITIVE DEFINITENESS ON SPHERES VIA DISK POLYNOMIALS

V. A. Menegatto; Ana Paula Peron

S^1


Environmental Monitoring and Assessment | 2017

Cytotoxicity and genotoxicity of Guaribas river water (Piauí, Brazil), influenced by anthropogenic action

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

Cytotoxic and genotoxic potential of liquid synthetic food flavorings evaluated alone and in combination.

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

A complex approach to strict positive definiteness on spheres

V. A. Menegatto; Ana Paula Peron

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C. P. Oliveira

Universidade Federal de Itajubá

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Grisiely Yara Stroher Neves

Universidade Estadual de Maringá

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Ana Amélia de Carvalho Melo-Cavalcante

Universidade Federal do Rio Grande do Sul

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Claudia Costa Bonecker

Universidade Estadual de Maringá

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M. H. Castro

Federal University of Uberlandia

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Emilio Porcu

University of Newcastle

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