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Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials
- Publication Year :
- 2024
-
Abstract
- We introduce two families of generators (functions) $\mathcal{G}$ that consist of entire and meromorphic functions enjoying a certain periodicity property and contain the classical Gaussian and hyperbolic secant generators. Sharp results are proved on the density of separated sets that provide non-uniform sampling for the shift-invariant and quasi shift-invariant spaces generated by elements of these families. As an application, we obtain new sharp results on the density of semi-regular lattices for the Gabor frames generated by elements from these families.<br />Comment: 26 pages, 1 figure
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.03090
- Document Type :
- Working Paper