Density results for continuous frames

Abstract

We derive necessary conditions for localization of continuous frames in terms of generalized Beurling densities. As an important application we provide necessary density conditions for sampling and interpolation in a very large class of reproducing kernel Hilbert spaces.

References in corpus (3)

• Density of Sampling and Interpolation in Reproducing Kernel Hilbert Spaces
• Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions
• Density of Gabor Systems Via the Short Time Fourier Transform

Cited by in corpus (2)

• Leptin densities in amenable groups
• Smooth lattice orbits of nilpotent groups and strict comparison of projections