9 citations · 10 across the 4 of their papers we have counts for
6 papers · 1 filter
Interpolation and Sampling Hypersurfaces for the Bargmann-Fock space in higher dimensions
Joaquim Ortega-Cerda, Alexander Schuster, Dror Varolin
We study those smooth complex hypersurfaces W in C^n having the property that all holomorphic functions of finite weighted L^p norm on W extend to entire functions with finite weig…
Harmonic measure and uniform densities
Joaquim Ortega-Cerdà, Kristian Seip
We study two problems concerning harmonic measure on "champagne subdomains" of the unit disk. These domains are obtained by removing from the unit disk little disks around sequence…
The constant of interpolation
Artur Nicolau, Joaquim Ortega-Cerdà, Kristian Seip
We prove that a suitably adjusted version of Peter Jones' formula for interpolation by bounded holomorphic functions gives a sharp upper bound for what is known as the constant of…
Interpolating and sampling sequences for entire functions
Nicolas Marco, Xavier Massaneda, Joaquim Ortega-Cerdà
We characterise interpolating and sampling sequences for the spaces of entire functions f such that f e^{-phi} belongs to L^p(C), p>=1 (and some related weighted classes), where ph…
On Fourier frames
Joaquim Ortega-Cerda, Kristian Seip
We solve the problem of Duffin and Schaeffer (1952) of characterizing those sequences of real frequencies which generate Fourier frames. Equivalently, we characterize the sampling…
Multipliers and weighted d-bar estimates
Joaquim Ortega-Cerda
We study some size estimates for the solution of the equation d-bar u=f in one variable. The new ingredient is the use of holomorphic functions with precise growth restrictions in…