1. Duality results for co-compact Gabor systems
- Author
-
Mads Sielemann Jakobsen and Jakob Lemvig
- Subjects
Modulation ,Mathematics::Functional Analysis ,Pure mathematics ,Gabor wavelet ,Hilbert space ,Duality (optimization) ,Second-countable space ,Lattices ,Gabor transform ,Size measurement ,Fourier transforms ,Algebra ,Zinc ,symbols.namesake ,Signal Processing and Analysis ,symbols ,Gabor–Wigner transform ,Locally compact space ,Abelian group ,Mathematics - Abstract
In this paper we give an account of recent developments in the duality theory of Gabor frames. We prove the Wexler-Raz biorthogonality relations and the duality principle for co-compact Gabor systems on second countable, locally compact abelian groups G. Our presentation does not rely on the existence of uniform lattices in G.
- Published
- 2015