# Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements

@article{Adcock2014DensityTF,
title={Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements},
author={B. Adcock and M. Gataric and A. Hansen},
journal={Journal of Fourier Analysis and Applications},
year={2014},
volume={23},
pages={1311-1347}
}
• Published 2014
• Mathematics
• Journal of Fourier Analysis and Applications
• We provide sufficient density condition for a set of nonuniform samples to give rise to a set of sampling for multivariate bandlimited functions when the measurements consist of pointwise evaluations of a function and its first k derivatives. Along with explicit estimates of corresponding frame bounds, we derive the explicit density bound and show that, as k increases, it grows linearly in $$k+1$$k+1 with the constant of proportionality $$1/\mathrm {e}$$1/e. Seeking larger gap conditions, we… CONTINUE READING
7 Citations

#### References

SHOWING 1-10 OF 69 REFERENCES