Irregular sampling for hyperbolic secant type functions

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10) Bergman spaces and Fock spaces (30H20)

Cites Work

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Sampling and interpolation in large Bergman and Fock spaces
On generating tight Gabor frames at critical density
Foundations of time-frequency analysis
Hyperbolic secants yield Gabor frames
Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions
Gabor frames and totally positive functions
Riesz bases of normalized reproducing kernels in Fock type spaces
Irregular Gabor frames of Cauchy kernels
On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight
Complete interpolating sequences for the Gaussian shift-invariant space
Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
Localization of zeros in Cauchy-de Branges spaces
Sampling, interpolation and Riesz bases in small Fock spaces
Krein-type theorems and ordered structure for Cauchy-de Branges spaces
Gabor frames for rational functions
The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces
Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
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.
Spectral theory of rank one perturbations of normal compact operators
Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators
Totally positive functions and Gabor frames over rational lattices
Frame set for Gabor systems with Haar window
Frame set for shifted sinc-function

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