17 citations · 29 across the 16 of their papers we have counts for
6 papers · 1 filter
Fatou and brother Riesz theorems in the infinite-dimensional polydisc
Alexandru Aleman, Jan-Fredrik Olsen, Eero Saksman
We study the boundary behavior of functions in the Hardy spaces on the infinite dimensional polydisk. These spaces are intimately related to the Hardy spaces of Dirichlet series. W…
Fourier multipliers for Hardy spaces of Dirichlet series
Alexandru Aleman, Jan-Fredrik Olsen, Eero Saksman
We obtain new results on Fourier multipliers for Dirichlet-Hardy spaces. As a consequence, we establish a Littlewood-Paley type inequality which yields a simple proof that the Diri…
Gap probabilities for the cardinal sine
Jorge Antezana, Jeremiah Buckley, Jordi Marzo +1
We study the zero set of random analytic functions generated by a sum of the cardinal sine functions that form an orthogonal basis for the Paley-Wiener space. As a model case, we c…
Local properties of Hilbert spaces of Dirichlet series
Jan-Fredrik Olsen
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these…
On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate
Jan-Fredrik Olsen, Eero Saksman
A range of Hardy-like spaces of ordinary Dirichlet series, called the Dirichlet-Hardy spaces $\Hp^p$, , have been the focus of increasing interest among researchers follo…
Local interpolation in Hilbert spaces of Dirichlet series
Jan-Fredrik Olsen, Kristian Seip
We denote by $\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane …