Kristian Seip

activity

20232026

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4 papers · 1 filter

math.CA2026

The zeros of point evaluation extremals in Paley-Wiener spaces

Andriy Bondarenko, Joaquim Ortega-Cerdà, Kristian Seip

For $1 \leq p < \infty$ , $φ_{p}$ is the function of minimal $L^{p}$ norm among all functions $f$ of exponential type at most $π$ for which $f (0) = 1$ . We start from the ansatz that the pos…

math.FA2026

Contractivity of Rudin's diagonal restriction operator for $H^{p}$ of the polydisc

Ole Fredrik Brevig, Javier Gómez-Serrano, Joaquim Ortega-Cerdà +1

We establish that Rudin's diagonal restriction operator is contractive from the Hardy space $H^{p}$ of the bidisc to the Bergman space $A^{p}$ of the disc for $2 \leq p < \infty$ , and cha…

math.FA2026

Bohr sets for multiplier algebras of complete Pick spaces

Ole Fredrik Brevig, Kristian Seip, Ilya Zlotnikov

We reexamine F. Wiener's classical proof that the Bohr radius of $H^{\infty}$ is $1/3$ . We replace $H^{\infty}$ by the multiplier algebras of complete Pick spaces and describe the Bohr…

math.CA2026

Fourier-invariant functions with dense zero sets

Andriy Bondarenko, Kristian Seip

For every $0 \leq β \leq 1/2$ , we construct a nonzero real-valued continuous function $f_{β}$ in $L^{1} (R) \cap L^{2} (R)$ such that $f_{β} = f_{β}$ and $f_β(\sqrt{n}/[\lo…

The zeros of point evaluation extremals in Paley-Wiener spaces

Contractivity of Rudin's diagonal restriction operator for Hp of the polydisc

Bohr sets for multiplier algebras of complete Pick spaces

Fourier-invariant functions with dense zero sets

Contractivity of Rudin's diagonal restriction operator for $H^{p}$ of the polydisc