Y. Belov

activity

20092024

most citedDiscrete Hilbert transforms on sparse sequences

29 citations · 87 across the 29 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.CV2009★ 29 cited

Discrete Hilbert transforms on sparse sequences

Yurii Belov, Tesfa Y. Mengestie, Kristian Seip

Weighted discrete Hilbert transforms $(a_{n})_{n} \mapsto \sum_{n} a_{n} v_{n} / (z - γ_{n})$ from $ℓ_{v}^{2}$ to a weighted $L^{2}$ space are studied, with $Γ = (γ_{n})$ a sequence of distinct points in…

math.CV2009★ 16 cited

Unitary discrete Hilbert transforms

Yurii Belov, Tesfa Y. Mengestie, Kristian Seip

Weighted discrete Hilbert transforms $(a_{n})_{n} \mapsto (\sum_{n} a_{n} v_{n} / (λ_{j} - γ_{n}))_{j}$ from $ℓ_{v}^{2}$ to $ℓ_{w}^{2}$ are considered, where $Γ = (γ_{n})$ and $Λ = (λ_{j})$ are disjoint…

math.CV2009

Riesz bases of reproducing kernels in Fock type spaces

A. Borichev, Yu. Lyubarskii

In a scale of Fock spaces $F_{φ}$ with radial weights $φ$ we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such…