Multiple sampling and interpolation in weighted Fock spaces of entire functions

DOI10.1007/s11785-020-01065-4OpenAlexW3018884397MaRDI QIDQ2657319

Antti Haimi, Luis Alberto Escudero, José Luis Romero

Publication date: 12 March 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12922

zbMATH Keywords

interpolationsamplingderivativeFock spaceBargmann-Fock space

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (3)

Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge ⋮ Efficient computation of the zeros of the Bargmann transform under additive white noise ⋮ Multiple sampling and interpolation in Bergman spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric conditions for multiple sampling and interpolation in the Fock space
• Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
• Iterative reconstructions in irregular sampling with derivatives
• Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements
• Exponential polynomials
• Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
• Necessary density conditions for sampling an interpolation of certain entire functions
• Analysis on Fock Spaces
• Frames in the bargmann space of entire functions
• Density theorems for sampling and interpolation \\ in the Bargmann-Fock space
• Density theorems for sampling and interpolation in the Bargmann-Fock space III.
• Separation of zeros and a Hermite interpolation based frame algorithm for band limited functions
• Model Space Results for the Gabor and Wavelet Transforms
• Stable Gabor Phase Retrieval and Spectral Clustering

This page was built for publication: Multiple sampling and interpolation in weighted Fock spaces of entire functions