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Strictly Positive Definite Kernels on the Torus

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Abstract

We determine a necessary and sufficient condition for the strict positive definiteness of a continuous and positive definite kernel on the torus.

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Acknowledgments

The authors wish to express their thanks to three anonymous referees for contributing with relevant comments and suggestions. The second author was partially supported by FAPESP, Grant \(\#\)2014/00277-5.

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Authors and Affiliations

  1. Departamento de Matemática, ICMC-USP, São Carlos, SP, 13560-970, Brazil

    J. Guella & V. A. Menegatto

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  1. J. Guella
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  2. V. A. Menegatto
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Correspondence to V. A. Menegatto.

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Communicated by Allan Pinkus.

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Guella, J., Menegatto, V.A. Strictly Positive Definite Kernels on the Torus. Constr Approx 46, 271–284 (2017). https://doi.org/10.1007/s00365-016-9354-2

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