Edit Profile (opens in new tab) Menegatto, Valdir Antonio Co-Author Distance Author ID: menegatto.valdir-antonio Published as: Menegatto, V. A.; Menegatto, Valdir A.; Menegatto, Valdir; Menegatto, Valdir Antonio more...less Documents Indexed: 85 Publications since 1994 Co-Authors: 17 Co-Authors with 70 Joint Publications 156 Co-Co-Authors all top 5 Co-Authors 12 single-authored 19 Peron, Ana Paula 18 Oliveira, Claudemir P. 12 Guella, Jean Carlo 8 Ferreira, José Claudinei 7 Jordão, Thaís 6 Barbosa, Victor S. 3 Castro, Mario H. 3 Franca, Willian 3 Piantella, A. C. 3 Porcu, Emilio 3 Sun, Xingping 2 Bonfim, Rafaela N. 1 Bissiri, Pier Giovanni 1 Chen, Debao 1 De Castro, Mario H. 1 de Oliveira, Claudemir Pinheiro 1 Leal, L. C. jun. all top 5 Serials 8 Journal of Mathematical Analysis and Applications 7 Numerical Functional Analysis and Optimization 5 Mathematical Inequalities & Applications 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Proceedings of the American Mathematical Society 4 Positivity 3 Integral Transforms and Special Functions 2 Collectanea Mathematica 2 Integral Equations and Operator Theory 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Results in Mathematics 2 Journal of Complexity 2 Constructive Approximation 2 Methods and Applications of Analysis 2 Journal of Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Banach Journal of Mathematical Analysis 2 Constructive Mathematical Analysis 1 Analysis Mathematica 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Analysis 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Designs, Codes and Cryptography 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Analysis (München) 1 Journal of Applied Mathematics 1 TEMA. Tendências em Matemática Aplicada e Computacional 1 Surveys in Mathematics and its Applications 1 Annals of Functional Analysis all top 5 Fields 59 Harmonic analysis on Euclidean spaces (42-XX) 35 Abstract harmonic analysis (43-XX) 20 Special functions (33-XX) 20 Approximations and expansions (41-XX) 20 Integral equations (45-XX) 18 Operator theory (47-XX) 11 Functional analysis (46-XX) 8 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 539 times in 227 Documents Cited by ▼ Year ▼ A necessary and sufficient condition for strictly positive definite functions on spheres. Zbl 1125.43300 Chen, Debao; Menegatto, Valdir A.; Sun, Xingping 77 2003 Eigenvalues of integral operators defined by smooth positive definite kernels. Zbl 1173.45001 Ferreira, J. C.; Menegatto, V. A. 30 2009 Strictly positive definite kernels on the Hilbert sphere. Zbl 0873.41005 Menegatto, Valdir A. 28 1994 Strictly positive definite kernels on subsets of the complex plane. Zbl 1153.41307 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 26 2006 Strictly positive definite kernels on compact two-point homogeneous spaces. Zbl 1345.43005 Barbosa, V. S.; Menegatto, V. A. 23 2016 An extension of a theorem of Schoenberg to products of spheres. Zbl 1348.43008 Guella, J. C.; Menegatto, V. A.; Peron, A. P. 20 2016 Positive definiteness, reproducing kernel Hilbert spaces and beyond. Zbl 1275.47047 Ferreira, J. C.; Menegatto, V. A. 17 2013 On the nuclearity of integral operators. Zbl 1172.45004 Ferreira, José C.; Menegatto, Valdir A.; Oliveira, Claudemir P. 16 2009 Strictly positive definite kernels on a product of spheres. Zbl 1427.43010 Guella, J. C.; Menegatto, V. A. 16 2016 Strict positive definiteness on products of compact two-point homogeneous spaces. Zbl 1361.42027 Barbosa, V. S.; Menegatto, V. A. 14 2017 Positive definite kernels on complex spheres. Zbl 0973.32004 Menegatto, V. A.; Peron, A. P. 12 2001 Integral operators on the sphere generated by positive definite smooth kernels. Zbl 1157.45008 Ferreira, J. C.; Menegatto, V. A.; Peron, A. P. 12 2008 Strictly positive definite kernels on a product of spheres. II. Zbl 1351.33013 Guella, Jean C.; Menegatto, Valdir A.; Peron, Ana P. 12 2016 Strictly positive definite kernels on a product of circles. Zbl 1368.42003 Guella, J. C.; Menegatto, V. A.; Peron, A. P. 12 2017 Eigenvalue decay of positive integral operators on the sphere. Zbl 1277.45001 Castro, M. H.; Menegatto, V. A. 11 2012 Strictly positive definite kernels on the circle. Zbl 0913.43002 Menegatto, Valdir A. 10 1995 Reproducing properties of differentiable Mercer-like kernels. Zbl 1381.42013 Ferreira, José C.; Menegatto, Valdir A. 9 2012 Schoenberg’s theorem for positive definite functions on products: a unifying framework. Zbl 1420.42005 Guella, J. C.; Menegatto, V. A. 9 2019 Positive definite functions on products of metric spaces via generalized Stieltjes functions. Zbl 1446.42007 Menegatto, V. A. 8 2020 Annihilating properties of convolution operators on complex spheres. Zbl 1120.42011 Menegatto, V. A.; Oliveira, C. P. 7 2005 Unitarily invariant strictly positive definite kernels on spheres. Zbl 1388.42006 Guella, J. C.; Menegatto, V. A. 7 2018 Strictly positive definite multivariate covariance functions on spheres. Zbl 1499.62344 Guella, Jean Carlo; Menegatto, Valdir Antonio; Porcu, Emilio 7 2018 Differentiable positive definite kernels on spheres. Zbl 1182.33021 Menegatto, Valdir A.; de Oliveira, Claudemir Pinheiro; Peron, Ana P. 7 2009 Gneiting class, semi-metric spaces and isometric embeddings. Zbl 1463.42016 Menegatto, Valdir; Oliveira, Claudemir; Porcu, Emilio 7 2020 Eigenvalue and singular value estimates for integral operators: a unifying approach. Zbl 1260.45002 Menegatto, V. A.; Oliveira, C. P. 7 2012 Differentiability of bizonal positive definite kernels on complex spheres. Zbl 1347.42010 Menegatto, V. A. 6 2014 Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces. Zbl 1348.60076 Bonfim, Rafaela N.; Menegatto, Valdir A. 6 2016 Old and new on the Laplace-Beltrami derivative. Zbl 1222.33013 Menegatto, V. A.; Piantella, A. C. 5 2011 Strict positive definiteness on spheres. Zbl 0978.42013 Menegatto, V. A. 5 1999 Conditionally positive definite kernels on Euclidean domains. Zbl 1047.32002 Menegatto, V. A.; Peron, A. P. 5 2004 Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere. Zbl 1332.45015 Jordão, T.; Menegatto, V. A. 5 2016 Strictly positive definite kernels on the torus. Zbl 1388.42007 Guella, J.; Menegatto, V. A. 5 2017 Relations between Schoenberg coefficients on real and complex spheres of different dimensions. Zbl 1416.42004 Bissiri, Pier Giovanni; Menegatto, Valdir A.; Porcu, Emilio 5 2019 Approximation by spherical convolution. Zbl 0895.41014 Menegatto, V. A. 4 1997 Weighted Fourier-Laplace transforms in reproducing kernel Hilbert spaces on the sphere. Zbl 1333.42012 Jordão, T.; Menegatto, V. A. 4 2014 A complex approach to strict positive definiteness on spheres. Zbl 1025.42006 Menegatto, V. A.; Peron, A. P. 4 2001 Strict positive definiteness on spheres via disk polynomials. Zbl 1039.42007 Menegatto, V. A.; Peron, A. P. 4 2002 Matrix valued positive definite kernels related to the generalized Aitken’s integral for Gaussians. Zbl 1499.42036 Menegatto, Valdir; Oliveira, Claudemir 4 2021 Interpolation on the complex Hilbert sphere using positive definite and conditionally negative definite kernels. Zbl 0928.65065 Menegatto, V. A. 3 1997 Strictly positive definite functions on the complex Hilbert sphere. Zbl 0951.41002 Sun, Xingping; Menegatto, V. A. 3 1999 On the construction of uniformly convergent disk polynomial expansions. Zbl 1218.33014 Menegatto, V. A.; Peron, A. P.; Oliveira, C. P. 3 2011 Fundamental sets of functions on spheres. Zbl 0937.41010 Menegatto, V. A. 3 1998 Approximation on the sphere by weighted Fourier expansions. Zbl 1128.42001 Menegatto, V. A.; Piantella, A. C. 3 2005 Traceability of positive integral operators in the absence of a metric. Zbl 1272.47057 Menegatto, Valdir A.; Peron, Ana P.; De Castro, Mario H. 3 2012 Eigenvalue decay of integral operators generated by power series-like kernels. Zbl 1291.45013 Azevedo, D.; Menegatto, V. A. 3 2014 Eigenvalue sequences of positive integral operators and moduli of smoothness. Zbl 1325.45002 Jordão, T.; Menegatto, V. A.; Sun, Xingping 3 2014 Differentiable positive definite functions on two-point homogeneous spaces. Zbl 1331.53072 Barbosa, V. S.; Menegatto, V. A. 3 2016 Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere. Zbl 1481.45002 Azevedo, D.; Menegatto, V. A. 3 2014 Conditionally positive definite matrix valued kernels on Euclidean spaces. Zbl 1444.42010 Guella, J. C.; Menegatto, V. A. 3 2020 Eigenvalue decay rates for positive integral operators. Zbl 1296.45001 Ferreira, J. C.; Menegatto, V. A. 3 2013 Laplace-Beltrami differentiability of positive definite kernels on the sphere. Zbl 1268.33010 Castro, M. H.; Menegatto, V. A.; Oliveira, C. P. 3 2013 Strictly positive definite functions on compact two-point homogeneous spaces: the product alternative. Zbl 1403.43004 Bonfim, Rafaela N.; Guella, Jean C.; Menegatto, Valdir A. 3 2018 Integral operators generated by Mercer-like kernels on topological spaces. Zbl 1242.45013 Castro, M. H.; Menegatto, V. A.; Peron, A. P. 2 2012 A limit formula for semigroups defined by Fourier-Jacobi series. Zbl 1388.33006 Guella, J. C.; Menegatto, V. A. 2 2018 Conditionally positive definite dot product kernels. Zbl 1130.42011 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 2 2006 Generalized convolution roots of positive definite kernels on complex spheres. Zbl 1314.42008 Barbosa, Victor S.; Menegatto, Valdir A. 2 2015 Positive definiteness on products of compact two-point homogeneous spaces and locally compact abelian groups. Zbl 1465.43005 Menegatto, V. A.; Oliveira, C. P. 2 2020 Convergence for summation methods with multipliers on the sphere. Zbl 1207.33018 Menegatto, V. A.; Piantella, A. C. 2 2010 Positive definiteness on products via generalized Stieltjes and other functions. Zbl 1471.42017 Menegatto, V. A. 2 2021 An extension of Mercer’s theory to \(L^p\). Zbl 1261.45001 Ferreira, José C.; Menegatto, Valdir A. 2 2012 Kolmogorov widths on the sphere via eigenvalue estimates for Hölderian integral operators. Zbl 1423.41039 Jordão, Thaís; Menegatto, Valdir A. 2 2019 Positive definite matrix functions on spheres defined by hypergeometric functions. Zbl 1428.33010 Guella, J. C.; Menegatto, V. A. 2 2019 Orthogonal bases for spaces of complex spherical harmonics. Zbl 1123.33010 Menegatto, V. A.; Oliveira, C. P. 1 2005 Integral operators generated by multi-scale kernels. Zbl 1190.45011 Jordão, T.; Menegatto, V. A. 1 2010 Interpolation on spherical domains. Zbl 0816.41003 Menegatto, Valdir A. 1 1994 Operators associated with conditionally positive definite kernels. Zbl 1058.41002 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 1 2004 Decay of singular values of power series kernels on the sphere. Zbl 1358.45001 Azevedo, D.; Menegatto, V. A. 1 2016 Erratum to: On the construction of uniformly convergent disk polynomial expansions. Zbl 1266.33014 Menegatto, V. A.; Peron, A. P.; Oliveira, C. P. 1 2012 Jackson kernels: a tool for analysing the decay of eigenvalue sequences of integral operators on the sphere. Zbl 1334.45018 Jordão, T.; Menegatto, V. A. 1 2015 Reproducing kernel Hilbert spaces associated with kernels on topological spaces. Zbl 1277.46015 Ferreira, J. C.; Menegatto, V. A. 1 2012 Gneiting’s space-time positive definiteness criterion revisited. Zbl 1484.42011 Barbosa, V. S.; Menegatto, V. A. 1 2022 An extension of Aitken’s integral for Gaussians and positive definiteness. Zbl 1528.42015 Menegatto, V. A.; Oliveira, C. P. 1 2022 Reproducing properties of differentiable Mercer-like kernels on the sphere. Zbl 1255.45001 Jordão, T.; Menegatto, V. A. 1 2012 Gneiting’s space-time positive definiteness criterion revisited. Zbl 1484.42011 Barbosa, V. S.; Menegatto, V. A. 1 2022 An extension of Aitken’s integral for Gaussians and positive definiteness. Zbl 1528.42015 Menegatto, V. A.; Oliveira, C. P. 1 2022 Matrix valued positive definite kernels related to the generalized Aitken’s integral for Gaussians. Zbl 1499.42036 Menegatto, Valdir; Oliveira, Claudemir 4 2021 Positive definiteness on products via generalized Stieltjes and other functions. Zbl 1471.42017 Menegatto, V. A. 2 2021 Positive definite functions on products of metric spaces via generalized Stieltjes functions. Zbl 1446.42007 Menegatto, V. A. 8 2020 Gneiting class, semi-metric spaces and isometric embeddings. Zbl 1463.42016 Menegatto, Valdir; Oliveira, Claudemir; Porcu, Emilio 7 2020 Conditionally positive definite matrix valued kernels on Euclidean spaces. Zbl 1444.42010 Guella, J. C.; Menegatto, V. A. 3 2020 Positive definiteness on products of compact two-point homogeneous spaces and locally compact abelian groups. Zbl 1465.43005 Menegatto, V. A.; Oliveira, C. P. 2 2020 Schoenberg’s theorem for positive definite functions on products: a unifying framework. Zbl 1420.42005 Guella, J. C.; Menegatto, V. A. 9 2019 Relations between Schoenberg coefficients on real and complex spheres of different dimensions. Zbl 1416.42004 Bissiri, Pier Giovanni; Menegatto, Valdir A.; Porcu, Emilio 5 2019 Kolmogorov widths on the sphere via eigenvalue estimates for Hölderian integral operators. Zbl 1423.41039 Jordão, Thaís; Menegatto, Valdir A. 2 2019 Positive definite matrix functions on spheres defined by hypergeometric functions. Zbl 1428.33010 Guella, J. C.; Menegatto, V. A. 2 2019 Unitarily invariant strictly positive definite kernels on spheres. Zbl 1388.42006 Guella, J. C.; Menegatto, V. A. 7 2018 Strictly positive definite multivariate covariance functions on spheres. Zbl 1499.62344 Guella, Jean Carlo; Menegatto, Valdir Antonio; Porcu, Emilio 7 2018 Strictly positive definite functions on compact two-point homogeneous spaces: the product alternative. Zbl 1403.43004 Bonfim, Rafaela N.; Guella, Jean C.; Menegatto, Valdir A. 3 2018 A limit formula for semigroups defined by Fourier-Jacobi series. Zbl 1388.33006 Guella, J. C.; Menegatto, V. A. 2 2018 Strict positive definiteness on products of compact two-point homogeneous spaces. Zbl 1361.42027 Barbosa, V. S.; Menegatto, V. A. 14 2017 Strictly positive definite kernels on a product of circles. Zbl 1368.42003 Guella, J. C.; Menegatto, V. A.; Peron, A. P. 12 2017 Strictly positive definite kernels on the torus. Zbl 1388.42007 Guella, J.; Menegatto, V. A. 5 2017 Strictly positive definite kernels on compact two-point homogeneous spaces. Zbl 1345.43005 Barbosa, V. S.; Menegatto, V. A. 23 2016 An extension of a theorem of Schoenberg to products of spheres. Zbl 1348.43008 Guella, J. C.; Menegatto, V. A.; Peron, A. P. 20 2016 Strictly positive definite kernels on a product of spheres. Zbl 1427.43010 Guella, J. C.; Menegatto, V. A. 16 2016 Strictly positive definite kernels on a product of spheres. II. Zbl 1351.33013 Guella, Jean C.; Menegatto, Valdir A.; Peron, Ana P. 12 2016 Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces. Zbl 1348.60076 Bonfim, Rafaela N.; Menegatto, Valdir A. 6 2016 Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere. Zbl 1332.45015 Jordão, T.; Menegatto, V. A. 5 2016 Differentiable positive definite functions on two-point homogeneous spaces. Zbl 1331.53072 Barbosa, V. S.; Menegatto, V. A. 3 2016 Decay of singular values of power series kernels on the sphere. Zbl 1358.45001 Azevedo, D.; Menegatto, V. A. 1 2016 Generalized convolution roots of positive definite kernels on complex spheres. Zbl 1314.42008 Barbosa, Victor S.; Menegatto, Valdir A. 2 2015 Jackson kernels: a tool for analysing the decay of eigenvalue sequences of integral operators on the sphere. Zbl 1334.45018 Jordão, T.; Menegatto, V. A. 1 2015 Differentiability of bizonal positive definite kernels on complex spheres. Zbl 1347.42010 Menegatto, V. A. 6 2014 Weighted Fourier-Laplace transforms in reproducing kernel Hilbert spaces on the sphere. Zbl 1333.42012 Jordão, T.; Menegatto, V. A. 4 2014 Eigenvalue decay of integral operators generated by power series-like kernels. Zbl 1291.45013 Azevedo, D.; Menegatto, V. A. 3 2014 Eigenvalue sequences of positive integral operators and moduli of smoothness. Zbl 1325.45002 Jordão, T.; Menegatto, V. A.; Sun, Xingping 3 2014 Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere. Zbl 1481.45002 Azevedo, D.; Menegatto, V. A. 3 2014 Positive definiteness, reproducing kernel Hilbert spaces and beyond. Zbl 1275.47047 Ferreira, J. C.; Menegatto, V. A. 17 2013 Eigenvalue decay rates for positive integral operators. Zbl 1296.45001 Ferreira, J. C.; Menegatto, V. A. 3 2013 Laplace-Beltrami differentiability of positive definite kernels on the sphere. Zbl 1268.33010 Castro, M. H.; Menegatto, V. A.; Oliveira, C. P. 3 2013 Eigenvalue decay of positive integral operators on the sphere. Zbl 1277.45001 Castro, M. H.; Menegatto, V. A. 11 2012 Reproducing properties of differentiable Mercer-like kernels. Zbl 1381.42013 Ferreira, José C.; Menegatto, Valdir A. 9 2012 Eigenvalue and singular value estimates for integral operators: a unifying approach. Zbl 1260.45002 Menegatto, V. A.; Oliveira, C. P. 7 2012 Traceability of positive integral operators in the absence of a metric. Zbl 1272.47057 Menegatto, Valdir A.; Peron, Ana P.; De Castro, Mario H. 3 2012 Integral operators generated by Mercer-like kernels on topological spaces. Zbl 1242.45013 Castro, M. H.; Menegatto, V. A.; Peron, A. P. 2 2012 An extension of Mercer’s theory to \(L^p\). Zbl 1261.45001 Ferreira, José C.; Menegatto, Valdir A. 2 2012 Erratum to: On the construction of uniformly convergent disk polynomial expansions. Zbl 1266.33014 Menegatto, V. A.; Peron, A. P.; Oliveira, C. P. 1 2012 Reproducing kernel Hilbert spaces associated with kernels on topological spaces. Zbl 1277.46015 Ferreira, J. C.; Menegatto, V. A. 1 2012 Reproducing properties of differentiable Mercer-like kernels on the sphere. Zbl 1255.45001 Jordão, T.; Menegatto, V. A. 1 2012 Old and new on the Laplace-Beltrami derivative. Zbl 1222.33013 Menegatto, V. A.; Piantella, A. C. 5 2011 On the construction of uniformly convergent disk polynomial expansions. Zbl 1218.33014 Menegatto, V. A.; Peron, A. P.; Oliveira, C. P. 3 2011 Convergence for summation methods with multipliers on the sphere. Zbl 1207.33018 Menegatto, V. A.; Piantella, A. C. 2 2010 Integral operators generated by multi-scale kernels. Zbl 1190.45011 Jordão, T.; Menegatto, V. A. 1 2010 Eigenvalues of integral operators defined by smooth positive definite kernels. Zbl 1173.45001 Ferreira, J. C.; Menegatto, V. A. 30 2009 On the nuclearity of integral operators. Zbl 1172.45004 Ferreira, José C.; Menegatto, Valdir A.; Oliveira, Claudemir P. 16 2009 Differentiable positive definite kernels on spheres. Zbl 1182.33021 Menegatto, Valdir A.; de Oliveira, Claudemir Pinheiro; Peron, Ana P. 7 2009 Integral operators on the sphere generated by positive definite smooth kernels. Zbl 1157.45008 Ferreira, J. C.; Menegatto, V. A.; Peron, A. P. 12 2008 Strictly positive definite kernels on subsets of the complex plane. Zbl 1153.41307 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 26 2006 Conditionally positive definite dot product kernels. Zbl 1130.42011 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 2 2006 Annihilating properties of convolution operators on complex spheres. Zbl 1120.42011 Menegatto, V. A.; Oliveira, C. P. 7 2005 Approximation on the sphere by weighted Fourier expansions. Zbl 1128.42001 Menegatto, V. A.; Piantella, A. C. 3 2005 Orthogonal bases for spaces of complex spherical harmonics. Zbl 1123.33010 Menegatto, V. A.; Oliveira, C. P. 1 2005 Conditionally positive definite kernels on Euclidean domains. Zbl 1047.32002 Menegatto, V. A.; Peron, A. P. 5 2004 Operators associated with conditionally positive definite kernels. Zbl 1058.41002 Menegatto, V. A.; Oliveira, C. P.; Peron, A. P. 1 2004 A necessary and sufficient condition for strictly positive definite functions on spheres. Zbl 1125.43300 Chen, Debao; Menegatto, Valdir A.; Sun, Xingping 77 2003 Strict positive definiteness on spheres via disk polynomials. Zbl 1039.42007 Menegatto, V. A.; Peron, A. P. 4 2002 Positive definite kernels on complex spheres. Zbl 0973.32004 Menegatto, V. A.; Peron, A. P. 12 2001 A complex approach to strict positive definiteness on spheres. Zbl 1025.42006 Menegatto, V. A.; Peron, A. P. 4 2001 Strict positive definiteness on spheres. Zbl 0978.42013 Menegatto, V. A. 5 1999 Strictly positive definite functions on the complex Hilbert sphere. Zbl 0951.41002 Sun, Xingping; Menegatto, V. A. 3 1999 Fundamental sets of functions on spheres. Zbl 0937.41010 Menegatto, V. A. 3 1998 Approximation by spherical convolution. Zbl 0895.41014 Menegatto, V. A. 4 1997 Interpolation on the complex Hilbert sphere using positive definite and conditionally negative definite kernels. Zbl 0928.65065 Menegatto, V. A. 3 1997 Strictly positive definite kernels on the circle. Zbl 0913.43002 Menegatto, Valdir A. 10 1995 Strictly positive definite kernels on the Hilbert sphere. Zbl 0873.41005 Menegatto, Valdir A. 28 1994 Interpolation on spherical domains. Zbl 0816.41003 Menegatto, Valdir A. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 226 Authors 60 Menegatto, Valdir Antonio 25 Peron, Ana Paula 24 Porcu, Emilio 17 Oliveira, Claudemir P. 16 Guella, Jean Carlo 10 Jordão, Thaís 10 Le Gia, Quoc Thong 9 Ferreira, José Claudinei 8 Sloan, Ian Hugh 8 Sun, Xingping 6 Giannakis, Dimitrios 6 Jäger, Janin 5 Barbosa, Victor S. 5 Emery, Xavier 5 zu Castell, Wolfgang 4 Alegria, Alfredo 4 Beatson, Rick K. 4 Cao, Feilong 4 Castro, Mario H. 4 Das, Suddhasattwa 4 Delgado, Julio 3 Berg, Christian 3 Bissiri, Pier Giovanni 3 Buescu, Jorge 3 Buhmann, Martin Dietrich 3 Cleanthous, Galatia 3 Franca, Willian 3 Hesse, Kerstin 3 Huang, Chunfeng 3 Levesley, Jeremy 3 Ma, Chunsheng 3 Massa, Eugenio 3 Piantella, A. C. 3 Sheng, Baohuai 3 Stephan, Ernst Peter 3 Womersley, Robert S. 3 Ziegel, Johanna F. 2 Arafat, Ahmed 2 Bevilacqua, Moreno 2 Bilokopytov, Eugene 2 Bonfim, Rafaela N. 2 Carrijo, A. O. 2 Chen, Zhixiang 2 Dörr, Christopher 2 Gregori, Pablo 2 Hubbert, Simon 2 Jørgensen, Palle E. T. 2 Li, Ming 2 Lin, Shaobo 2 Mery, Nadia 2 Mücke, Nicole 2 Robeson, Scott M. 2 Schlather, Martin 2 Wang, Jianli 2 Xu, Yuan 2 Zhang, Haimeng 1 Abardia, Judit 1 Aleans, Deimer J. J. 1 Alexander, Romeo 1 Almeida Carvalho, Suélen 1 Alpay, Daniel Aron 1 Alvandi, Azizallah 1 Anderson, Austin 1 Arendt, Wolfgang 1 Azencott, Robert 1 Bachoc, François 1 Bairamov, Elgiz 1 Baquião, Maria Caruline 1 Belton, Alexander C. R. 1 Bezubik, Agata 1 Biau, Gérard 1 Bingham, Nicholas Hugh 1 Blanchard, Gilles 1 Bleakley, Kevin 1 Bonami, Aline 1 Cao, Jiguo 1 Cardona, Duván 1 Cavoretto, Roberto 1 Chang, Xiangyu 1 Chen, Zhenzhong 1 Chen, Zhong 1 Clarke De la Cerda, Jorge 1 Coulhon, Thierry 1 Darani, Mohammadreza Ahmadi 1 De Castro, Mario H. 1 De Castro, Yohann 1 De Iaco, Sandra 1 de Oliveira, Claudemir Pinheiro 1 De Rossi, Alessandra 1 De Vito, Ernesto 1 Dehghan Takht Fooladi, Mehdi 1 Dostert, Maria 1 Du, Hong 1 Estrade, Anne 1 Fan, Yanan 1 Fariñas, Alessandra 1 Feng, Han 1 Filbir, Frank-Dieter 1 Frostig, Ron D. 1 Fuentes, Montserrat ...and 126 more Authors all top 5 Cited in 96 Serials 11 Journal of Mathematical Analysis and Applications 11 Positivity 10 Journal of Approximation Theory 9 Numerical Functional Analysis and Optimization 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of Multivariate Analysis 7 Proceedings of the American Mathematical Society 6 Advances in Computational Mathematics 6 Electronic Journal of Statistics 5 Journal of Complexity 5 Constructive Approximation 5 The Journal of Fourier Analysis and Applications 4 Mathematics of Computation 4 Journal of Computational and Applied Mathematics 4 Statistics & Probability Letters 4 Applied and Computational Harmonic Analysis 4 Integral Transforms and Special Functions 3 Computers & Mathematics with Applications 3 Integral Equations and Operator Theory 3 Numerische Mathematik 3 Analysis and Applications (Singapore) 3 Banach Journal of Mathematical Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Notes 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Collectanea Mathematica 2 Journal of Statistical Planning and Inference 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 Communications in Statistics. Theory and Methods 2 Expositiones Mathematicae 2 Test 2 Theory of Probability and Mathematical Statistics 2 Computational and Applied Mathematics 2 Journal of Applied Analysis 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Mathematical Geosciences 2 Constructive Mathematical Analysis 1 Analysis Mathematica 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 International Statistical Review 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Designs, Codes and Cryptography 1 Numerical Algorithms 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Indagationes Mathematicae. New Series 1 Journal of the Egyptian Mathematical Society 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Contemporary Mathematics 1 Journal of Machine Learning Research (JMLR) 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Analysis in Theory and Applications 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Journal of Pseudo-Differential Operators and Applications 1 Annals of Functional Analysis 1 Sankhyā. Series A 1 Analysis and Mathematical Physics 1 Statistics and Computing 1 Bayesian Analysis 1 SIAM/ASA Journal on Uncertainty Quantification 1 Cogent Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Mathematical Statistics and Learning all top 5 Cited in 40 Fields 94 Harmonic analysis on Euclidean spaces (42-XX) 53 Approximations and expansions (41-XX) 51 Abstract harmonic analysis (43-XX) 48 Special functions (33-XX) 44 Statistics (62-XX) 33 Functional analysis (46-XX) 32 Operator theory (47-XX) 32 Numerical analysis (65-XX) 29 Probability theory and stochastic processes (60-XX) 26 Integral equations (45-XX) 16 Partial differential equations (35-XX) 11 Functions of a complex variable (30-XX) 11 Geophysics (86-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Integral transforms, operational calculus (44-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Computer science (68-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year