P. Grabner

activity

20212025

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math.CA2024

Positive definite singular kernels on two-point homogeneous spaces

Dmitriy Bilyk, Peter Grabner

We study positive definiteness of kernels $K (x, y)$ on two-point homogeneous spaces. As opposed to the classical case, which has been developed and studied in the existing literatur…

math.CA2024

Hyperuniform point sets on projective spaces

Johann S. Brauchart, Peter J. Grabner

We extend the notion of hyperuniformity to the projective spaces $RP^{d - 1}$ , $CP^{d - 1}$ , $HP^{d - 1}$ , and $OP^{2}$ . We show that hyperuniformity im…