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math.FA2014
Co-compact Gabor systems on locally compact abelian groups
Mads Sielemann Jakobsen, Jakob Lemvig
In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups. We…
math.FA2014
Reproducing formulas for generalized translation invariant systems on locally compact abelian groups
Mads Sielemann Jakobsen, Jakob Lemvig
In this paper we connect the well established discrete frame theory of generalized shift invariant systems to a continuous frame theory. To do so, we let , , be a cou…