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09/06/2023
New methods for quasi-interpolation approximations: resolution of odd-degree singularities
In this paper, we study functional approximations where we choose the so...
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01/19/2023
Strictly positive definite kernels on compact Riemannian manifolds
The paper studies strictly positive definite kernels on compact Riemanni...
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05/15/2022
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
We present sufficient condition for a family of positive definite kernel...
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02/25/2022
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic function
We consider the problem of approximating [0,1]^d-periodic functions by c...
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10/19/2021
Generalised Wendland functions for the sphere
In this paper we compute the spherical Fourier expansions coefficients f...
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05/06/2021
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres
The paper introduces new sufficient conditions of strict positive defini...
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05/06/2020