Peter Kritzer

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20232026

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math.NA2026

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond

Peter Kritzer, Nicolas Nagel, Friedrich Pillichshammer

We investigate the periodic $L_{2}$ -discrepancy of infinite sequences $§_{d}$ in $[0, 1)^{d}$ and its analytic counterpart, the diaphony. We prove that infinite order-2 digital sequences…

math.NA2026

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter

We study embeddings between reproducing kernel Hilbert spaces $H (K)$ of functions of $d \in N \cup {\infty}$ variables. The kernels $K$ are superpositions of weighted fi…

Infinite sequences with optimal diaphony, periodic L2​-discrepancy, and beyond

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond