Interpolating sequences for Bargmann-Fock spaces in \(\mathbb C^n\)

DOI10.1016/S0019-3577(00)88578-XzbMath0974.46028OpenAlexW2016203917MaRDI QIDQ5935890

Pascal J. Thomas, Xavier Massaneda

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(00)88578-x

zbMATH Keywords

interpolating sequences for the Bargmann-Fock space

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Interpolation in approximation theory (41A05) Banach spaces of continuous, differentiable or analytic functions (46E15) Other generalizations of function theory of one complex variable (32A30) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

From integral estimates of functions to uniform ones. II: Sharp versions ⋮ Effective and sampling sets for Hörmander spaces ⋮ Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ Interpolating sequences for pairs of spaces ⋮ Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants ⋮ Compactness characterization of operators in the Toeplitz algebra of the Fock space \(F^p_\alpha\) ⋮ Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames ⋮ Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel ⋮ On interpolating varieties for weighted spaces of entire functions.

Cites Work

• Hankel forms and the Fock space
• Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
• Necessary density conditions for sampling an interpolation of certain entire functions
• Reproducing Formulas and Double Orthogonality in Bargmann and Bergman Spaces
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Interpolating sequences for weighted Bergman spaces of the ball
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