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Start Over Topic signal processing and analysis Journal 2015 international conference on sampling theory and applications (sampta)
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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