Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform

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Riesz and frame systems generated by unitary actions of discrete groups (2014, methodology): “Taking this into account, we shall show how can we recover all the results and examples from [24] as a particular case of our approach.”
The Zak transform and the structure of spaces invariant by the action of an LCA group (2014, methodology): “In [22] the authors introduced a definition of the Zak transform associated to quasi-Γ-invariant action σ of a discrete and countable LCA group Γ.”
Subspaces of L2(G) invariant under translation by an abelian subgroup (2014, unknown): “In Section 6, we consider the related problem of invariant subspaces for dual integrable representations of locally compact abelian (LCA) groups, introduced by Hernández, Šikić, Weiss, and Wilson in [22].”