• Menegatto, V. A., Oliveira, C. P., Positive definiteness on products of compact
      two-point homogeneous spaces and locally compact abelian groups, Canad. Math. Bull., 63(2020), no. 4, 705-715.
    • Barbosa, V. S., Menegatto, V. A., A Gneiting-like method for constructing positive definite functions on metric spaces, SIGMA-Symmetry, integrability and geometry: methods and applications, 16 (2020), 117, 15 pp.
    • Menegatto, V. A., Positive definite functions on products of metric spaces via generalized Stieltjes functions, Proc. Amer. Math. Soc., 148(2020), no. 11, 4781-4795.
    • Menegatto, V. A., Oliveira, C. P., Porcu, E., Gneiting Class, semi-metric spaces, and isometric embeddings, Constr. Math. Anal., 3(2020), no.2, 85-95.
    • Guella, J. C., Menegatto, V. A. - Conditionally positive definite matrix valued kernels on Euclidean spaces, Constr. Approx., 52(2020), no. 1, 65-92.
    • Guella, J. C., Menegatto, V. A. - Schoenberg's theorem for positive definite functions on products: a unifying framework, J. Fourier Anal. Appl., 25(2019), no. 4, 1424-1446.
    • Guella, J. C., Menegatto, V. A. - Multivariate covariance functions on spheres defined by hypergeometric functions, Integral Transforms Spec. Funct., 30(2019), no. 10, 774-789.
    • Jordão, T., Menegatto, V. A. - Kolmogorov widths on the sphere via eigenvalue estimates for Holderian integral operators, Results Math., 74 (2019), no. 2, Art.74, 18pp.
    • Bissiri, P. G., Menegatto, V. A., Porcu, E. - Relations between Schoenberg coefficients on real
      and complex spheres of different dimensions, SIGMA-Symmetry, integrability and geometry: methods and applications, 15 (2019), 004, 12 pp.
    • Bonfim, R. N., Guella, J. C., Menegatto, V. A. - Strictly positive definite functions on
      compact two-point homogeneous spaces: the product alternative, SIGMA-Symmetry, integrability and geometry: methods and applications, 14 (2018), Paper 112, 14 pp.
    • Guella, J. C., Menegatto, V. A., Porcu, E. - Strictly positive definite multivariate covariance functions on spheres, J. Multivariate Anal., 166 (2018), 150-159.
    • Guella, J. C., Menegatto, V. A. - A limit formula for semigroup classes defined by Fourier-Jacobi series, Proc. Amer. Math. Soc., 146 (2018), no. 5, 2027-2038.
    • Guella, J. C., Menegatto, V. A. - Unitarily invariant strictly positive definite kernels on spheres, Positivity, 22(2018), no.1, 91-103.
    • Guella, J. C., Menegatto, V. A. - Strictly positive definite functions on a torus, Constr. Approx., 46 (2017), no. 2, 271-284.
    • 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.
    • Barbosa, V. S., Menegatto, V. A., Strict positive definiteness on products of compact two-point homogeneous spaces, Integral Transforms Spec. Funct., 28(2017), no. 1, 56-73.
    • Guella, J. C., Menegatto, V. A., Peron, A. P. - Strictly positive definite kernels on a product of spheres II, SIGMA-Symmetry, integrability and geometry: methods and applications, 12(2016), Paper 103, 15 pp.
    • Bonfim, R., Menegatto, V. A. - Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces, J. Multivariate Anal., 152(2016), 237-248.
    • Guella, J. C., Menegatto, V. A., Peron, A. P. - An extension of a theorem of Schoenberg to a product of spheres, Banach J. Math. Anal., 10(2016), no.4, 671-685.
    • Azevedo, D., Menegatto, V. A. - Decay of singular values of power series kernels on the sphere, Numer. Funct. Anal. Optim., 37 (2016), no. 4, 440-458.
    • Barbosa, V. S.; Menegatto, V. A. - Strictly positive definite kernels on two-point compact homogeneous spaces, Math. Ineq. Appl., 19(2016), no. 2, 743-756.
    • Guella, J.; Menegatto, V. A., Strictly positive definite kernels on a product of spheres, J. Math. Anal. Appl., 435(2016), no. 1, 286-301.
    • Barbosa, V. S.; Menegatto, V. A., Differentiable positive definite functions on homogeneous spaces, J. Math. Anal. Appl., 434 (2016), no. 1, 698-712.
    • Jordão, T.; Menegatto,V. A., Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere, Proc. Amer. Math. Soc., 144 (2016), no.1, 269-283.
    • Jordão, T.; Menegatto, V. A. - Jackson kernels: a tool for analyzing the decay of eigenvalue sequences of integral operators on the sphere, Math. Ineq. Appl., 18(2015), no. 4, 1483-1500.
    • Barbosa, V. S.; Menegatto, V. A. - Generalized convolution roots of positive definite kernels on complex spheres, SIGMA-Symmetry, integrability and geometry: methods and applications, 11 (2015), Paper 014, 13 pp.
    • Menegatto, V. A. - Differentiability of bizonal positive definite kernels on complex spheres, J. Math. Anal. Appl., 412 (2014), no.1, 189-199.
    • Jordão, T., Menegatto, V. A.,Sun, Xingping - Eigenvalue sequences of positive integral operators and moduli of smoothness. In: Gregory E. Fasshauer; Larry L. Schumaker. (Org.). Springer Proceedings in Mathematics & Statistics - Approximation Theory XIV: San Antonio 2013. 83ed. New York: Springer, 2014, v. 83, p. 239-254.
    • Azevedo, D., Menegatto, V. A. - Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere, J. Approx. Theory, 177 (2014), 57-68.
    • Jordão, T., Menegatto, V. A. - Weighted Fourier-Laplace transforms in reproducing kernel Hilbert spaces, J. Math. Anal. Appl., 411 (2014), no.2, 732-741.
    • Azevedo, D., Menegatto, V. A. - Eigenvalue decay of integral operators generated by power series-like kernels, Math. Inequal. Appl., 17 (2014), no.2, 693-705.
    • Ferreira, J. C., Menegatto, V. A. - Eigenvalue decay rates for positive integral operators, Ann. Mat. Pura Appl., 192 (2013), no.4, 1025-1041.
    • Castro, M. H., Menegatto, V. A., Oliveira, C. P. - Laplace-Beltrami differentiability of positive definite kernels on the sphere, Acta Math. Sinica (English series), 29 (2013), no. 1, 93-104.
    • Ferreira, J. C., Menegatto, V. A. - Positive definiteness, reproducing kernel Hilbert spaces and beyond, Ann. Funct. Anal., 4 (2013), no. 1, 64-88.
    • Menegatto, V. A., Oliveira, C. P. - An extension  of Mercer's theorem via Pontryagin spaces, Integral Equations Operator Theory, 74 (2012), no. 3, 363-375.
    • Menegatto, V. A., Oliveira, C. P. - Eigenvalue and singular value estimates for integral operators: a unifying approach. Math. Nachr, 258 (2012), no. 17-18, 2222-2232.
    • Castro, M. H., Menegatto, V. A. - Eigenvalue decay of positive integral operators on the sphere. Math. Comput. ,  81 (2012), no. 280,  2303-2317.
    • Jordão, T; Menegatto, V. A. - Reproducing properties of differentiable Mercer-like kernels
      on the sphere, Numer. Funct. Anal. Optim.,  33 (2012), no.10, 1221-1243
    • Ferreira, J. C., Menegatto, V. A. - Reproducing kernel Hilbert spaces associated with kernels on topological spaces, Funct. Anal. Appl., 46 (2012), no. 2,  152-154.
    • 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.
    • Castro, M. H., Menegatto, V. A., Peron, A. P. - Traceability of integral operators in the absence of a metric, Banach J. Math. Anal., 6 (2012), 98-112.
    • Ferreira, J. C.; Menegatto, V. A. -  Reproducing properties of differentiable Mercer-like kernels,  Math. Nachr, 285 (2012), 959-973.(**)
    • Ferreira, J. C., Menegatto,  V. A. - An extension of Mercer's theory to L^p. Positivity, 16 (2012), #2, 197-212.
    • 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.
    • Menegatto V. A.; Piantella, A. C. - Old and new on the Laplace-Beltrami derivative, Numer. Funct. Anal. Optim. 32 (2011), no. 3,  309-341.(**)
    • Menegatto, V. A., Oliveira, C. P., Peron, A. P. - On the construction of uniformly convergent disk polynomial expansions, Collec. Math., 62 (2011), no. 2, 151-159.
    • Jordão, T; Menegatto, V. A. - Integral operators generated by multi-scale kernels, J. Complexity, 26 (2010), 187-199. (*)
    • Menegatto V. A.; Piantella, A. C. - Convergence for summation methods with multipliers on the sphere, Numer. Funct. Anal. Optim. 31 (2010), no. 6, 738-753.(**)
    • Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. -  Differentiable positive definite kernels on spheres , J. Appl. Anal., 15 (2009), no. 1, 101-117. 
    • Ferreira, J. C., Menegatto, V. A., Oliveira, C. P., On the nuclearity of integral operators, Positivity, 13 (2009), no. 3, 519-541.
    • Ferreira, J. C.; Menegatto, V. A. - Eigenvalues of integral operators defined by smooth positive definite kernels, Integral Equations Operator Theory, 64 (2009), no.1, 61-81. (*)
    • Ferreira, J. C.; Menegatto, V. A.; Peron, A. P. - Integral operators on the sphere generated by positive definite smooth kernels, J. Complexity, 24 (2008), 632-647.
    • Menegatto, V. A; Oliveira, C. P.; Peron, A. P. - On conditionally positive definite dot product kernels,  Acta Math. Sinica, 24 (2008), no. 7, 1127-1138.
    • Leal Junior, L. C., Menegatto, V. A. - On the construction of spherical designs, TEMA, 8 (2007), no. 3, 423-432.  (*)
    • Menegatto, V. A.;  Oliveira, C. P.; Peron, A. P. - Strictly positive definite kernels on subsets of the complex plane, Comp. Math. Appl., 51 (2006), no. 8, 1233-1250.
    • Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. - Conditionally positive definite dot product kernels, J. Math. Anal. Appl., 321(2006), no. 1, 223-241.
    • Menegatto, V. A.; Piantella, A. C. - Approximation on the sphere by weighted Fourier expansions, J. Appl. Math., 2005 #4 (2005), 321-340.   (**)
    • Menegatto, V. A.; Oliveira, C. P. - Orthogonal bases for spaces of complex spherical harmonics. J. Appl. Anal., 31 (2005), no.1, 113-132.  (**)
    • Menegatto, V. A.; Oliveira, C. P. - Annihilating properties of convolution operators on complex spheres. Anal. Math., 31(2005), 13-30.  (**)
    • Menegatto, V. A.;  Oliveira, C. P.; Peron, A. P. - Operators associated with conditionally positive definite kernels. Indag. Math., N.S., 15 (2004), no. 3, 357-371.  
    • Menegatto, V. A.; Peron, A. P. - Conditionally positive definite kernels on Euclidean domains. J. Math. Anal. Appl., 294 (2004), no. 1, 345-359.  
    • Chen, D.; Menegatto, V. A.; Sun, X. - A necessary and sufficient condition for strictly positive definite functions on spheres. Proc. Amer. Math. Soc., 131 (2003), no. 9, 2733-2740. 
    • 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.  (**)
    • Menegatto, V. A.; Peron, A. P. - Positive definite kernels on complex spheres.J. Math. Anal. Appl.,  254 (2001), no. 1, 219-232.  (**)
    • 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.  (**)
    • Sun, Xingping; Menegatto, V. A. - Strictly positive definite functions on the complex Hilbert sphere. Adv. Comput. Math. 11(1999), 105-119. 
    •  Menegatto, V. A. - Strict positive definiteness on spheres. Analysis 19 (1999), no. 3, 217--233. 
    • Menegatto, V. A. - Fundamental sets of functions on spheres. Methods Appl. Anal. 5 (1998), no. 4, 387--398.  
    • Menegatto, V. A. - Approximation by spherical convolution. Numer. Funct. Anal. Optim. 18 (1997), no. 9-10, 995--1012.  
    • Menegatto, V. A. - Interpolation on the complex Hilbert sphere using positive definite and conditionally negative definite kernels. Acta Math. Hungar. 75 (1997), no. 3, 215--225. 
    • 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.  
    • Menegatto, V. A. - Interpolation on the complex Hilbert sphere. Approx. Theory Appl. (N.S.) 12 (1996), no. 2, 31--39.  
    • Menegatto, V. A. -  Strictly positive definite kernels on the circle. Rocky Mountain J. Math. 25 (1995), no.3, 1149--1163.  
    • Menegatto, V. A. - Strictly positive definite kernels on the Hilbert sphere. Appl. Anal. 55 (1994), no. 1-2, 91--101. 
    • Menegatto, V. A. -  Interpolation on spherical domains. Analysis 14 (1994), no. 4, 415--424.

    • (*) = trabalho oriundo da dissertação de mestrado do aluno co-autor

    • (**) = trabalho oriundo da tese de doutorado do aluno co-autor