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Author

Kristian Seip

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Preprint Oct 2026

The zeros of point evaluation extremals in Paley-Wiener spaces

For $1\le p<\infty$, $\varphi_p$ is the function of minimal $L^p$ norm among all functions $f$ of exponential type at most $\pi$ for which $f(0)=1$. We start from the ansatz that the positive zeros $\tau_n$ of $\varphi_p$ are close to \(n+1/p-1/2\) and use a weighted convex correction to first place them in an \(\ell^2...

A. Bondarenko, Joaquim Ortega-Cerdà, Kristian Seip · 0 citations
Preprint Aug 2026

Fourier-invariant functions with dense zero sets

For every $0\leq\beta\leq1/2$, we construct a nonzero real-valued continuous function $f_\beta$ in $L^1(\mathbb R)\cap L^2(\mathbb R)$ such that $\widehat {f}_\beta=f_\beta$ and $f_\beta(\sqrt{n}/[\log(e+n)]^{\beta})=0$ for all $n\geq 0$. The case $\beta=0$ settles in the negative a question raised by Radchenko and Via...

A. Bondarenko, Kristian Seip · 0 citations

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