Interpolation and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions
From MaRDI portal
Publication:2494335
DOI10.1007/s00208-005-0726-3zbMath1092.32006arXivmath/0411308OpenAlexW2014270875MaRDI QIDQ2494335
Joaquim Ortega-Cerdà, Alexander P. Schuster, Dror Varolin
Publication date: 26 June 2006
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411308
Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Analytic spaces (32C99) Pseudoconvex domains (32T99)
Related Items (9)
Bargmann-Fock extension from singular hypersurfaces ⋮ Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ A sufficient condition for mobile sampling in terms of surface density ⋮ On the extension of holomorphic adjoint sections from reduced unions of strata of divisors ⋮ Remarks on multivariate Gaussian Gabor frames ⋮ NONUNIFORMLY FLAT AFFINE ALGEBRAIC HYPERSURFACES ⋮ Weighted-𝐿² interpolation on non-uniformly separated sequences ⋮ Weighted interpolation from certain singular affine hypersurfaces ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
Cites Work
- Interpolation and sampling for generalized Bergman spaces on finite Riemann surfaces
- A formula for interpolation and division in \({\mathbb C}^n\).
- On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
- The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
- Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
- Uniform estimates with weights for the \(\overline{\partial}\)-equation
- Beurling type density theorems in the unit disk
- Interpolating and sampling sequences for entire functions
- Conditions for the analyticity of certain sets
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Interpolation and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions