Výsledky vyhledávání - "Menegatto, V. A."

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Matrix valued positive definite kernels related to the generalized Aitken's integral for Gaussians

Autor: Menegatto, V. A., Oliveira, C. P.

We introduce a method to construct general multivariate positive definite kernels on a nonempty set $X$ that employs a prescribed bounded completely monotone function and special multivariate functions on $X$.\ The method is consistent with a general

Externí odkaz: http://arxiv.org/abs/2106.14064

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Strict positive definiteness on a product of compact two-point homogeneous spaces

Autor: Barbosa, V. S., Menegatto, V. A.

We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, in the cases in which at least one of the spaces is a sphere of dimension greater

Externí odkaz: http://arxiv.org/abs/1605.07071

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Strictly positive definite kernels on a product of circles

Autor: Guella, J. C., Menegatto, V. A., Peron, A. P.

Publikováno v: Positivity (2017) Volume 21, Issue 1, pp 329-342

We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.

Externí odkaz: http://arxiv.org/abs/1505.01169

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Strictly positive definite kernels on two-point compact homogeneous spaces

Autor: Barbosa, V. S., Menegatto, V. A.

We present a necessary and sufficient condition for the strict positive definiteness of a real, continuous, isotropic and positive definite kernel on a two-point compact homogeneous space. The characterization adds to others previously obtained by D.

Externí odkaz: http://arxiv.org/abs/1505.00591

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Differentiable positive definite functions on two-point homogeneous spaces

Autor: Barbosa, V. S., Menegatto, V. A.

In this paper we study continuous kernels on compact two point homogeneous spaces which are positive definite and zonal (isotropic). Such kernels were characterized by R. Gangolli some forty years ago and are very useful for solving scattered data in

Externí odkaz: http://arxiv.org/abs/1505.00029

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An extension of a theorem of Schoenberg to products of spheres

Autor: Guella, J. C., Menegatto, V. A., Peron, Ana P.

Publikováno v: Banach J. Math. Anal. 10, no. 4 (2016), 671-685

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 rega

Externí odkaz: http://arxiv.org/abs/1503.08174

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