Sampling and interpolation in de Branges spaces with doubling phase

DOI10.1007/s11854-012-0026-2zbMath1293.30064arXiv1103.0566OpenAlexW1992036252MaRDI QIDQ351347

Jordi Marzo, Shahaf Nitzan, Jan-Fredrik Olsen

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0566

zbMATH Keywords

doubling measuresinterpolating sequencesde Branges spacessampling sequences

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Multidimensional problems (41A63) Interpolation between normed linear spaces (46B70) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (7)

Localized frames and compactness ⋮ Sampling in de Branges spaces and Naimark dilation ⋮ De Branges spaces and Fock spaces ⋮ Gap probabilities for the cardinal sine ⋮ Necessary density conditions for \(d\)-approximate interpolation sequences in the Bargmann-Fock space ⋮ Density results for continuous frames ⋮ Sampling, interpolation and Riesz bases in small Fock spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Feichtinger conjecture for reproducing kernels in model subspaces
• Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings
• Stability of the bases and frames reproducing kernels in model spaces.
• Sampling and interpolation in large Bergman and Fock spaces
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• A density criterion for frames of complex exponentials
• Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
• Interpolating and sampling sequences for entire functions
• Multipliers and weighted \(\bar\partial\)-estimates.
• Carleson measures for functions orthogonal to invariant subspaces
• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• Incompleteness of sparse coherent states
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Interpolations by bounded analytic functions and the corona problem
• Discrete Hilbert transforms on sparse sequences
• Riesz bases of reproducing kernels in Fock-type spaces
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Admissible Majorants for Model Subspaces of H², Part I: Slow Winding of the Generating Inner Function
• Weighted Paley-Wiener spaces
• On reproducing kernel Riesz bases in model spaces
• On Some Interpolation Problems for Analytic Functions

This page was built for publication: Sampling and interpolation in de Branges spaces with doubling phase