Strictly positive definite kernels on a product of circles

DOI10.1007/s11117-016-0425-1zbMath1368.42003arXiv1505.01169OpenAlexW2600017583MaRDI QIDQ2358774

Jean C. Guella, Valdir A. Menegatto, Ana Paula Peron

Publication date: 16 June 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01169

zbMATH Keywords

isotropypositive definiteSkolem-Mahler-Lech theoremstrictly positive definiteSchoenberg's theoremproduct of circles

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Interpolation in approximation theory (41A05) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Positive definite functions on groups, semigroups, etc. (43A35) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (12)

Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus ⋮ Relations between Schoenberg coefficients on real and complex spheres of different dimensions ⋮ Strictly positive definite kernels on a product of spheres. II. ⋮ Strictly positive definite kernels on the torus ⋮ Strictly positive definite kernels on a product of spheres ⋮ Modeling Temporally Evolving and Spatially Globally Dependent Data ⋮ Strict positive definiteness on products of compact two-point homogeneous spaces ⋮ A Gneiting-like method for constructing positive definite functions on metric spaces ⋮ Unitarily invariant strictly positive definite kernels on spheres ⋮ Schoenberg's theorem for positive definite functions on products: a unifying framework ⋮ Towards a complete picture of stationary covariance functions on spheres cross time ⋮ Characterization of strict positive definiteness on products of complex spheres

Cites Work

• Unnamed Item
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• An extension of a theorem of Schoenberg to products of spheres
• Strictly and non-strictly positive definite functions on spheres
• Strictly positive definite kernels on a product of spheres
• Strictly positive definite kernels on subsets of the complex plane
• Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II)
• Strictly positive definiteness of Hermite interpolation on spheres
• Strictly positive definite kernels on the circle
• Strictly positive definite functions on the complex Hilbert sphere
• Strictly Hermitian positive definite functions
• Positive definite functions on spheres
• Strictly positive definite kernels on compact two-point homogeneous spaces
• Positive definite functions in distance geometry
• STRICT POSITIVE DEFINITENESS ON SPHERES
• On a new condition for strictly positive definite functions on spheres
• Strictly positive definite functions on the unit circle
• Strictly positive definite functions on spheres in Euclidean spaces
• Strictly positive definite kernels on the hilbert sphere
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Exponential diophantine equations

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