Generalized coorbit theory, Banach frames, and the relation to α‐modulation spaces

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Window-Dependent Bases for Efficient Representations of the Stockwell Transform (2014, methodology): “The aﬃne Weyl-Heisenberg group is also connected to the deﬁnition of α -modulation spaces, see [2, 8, 14], which represents, at the level of coorbit theory, a sort of interpolation between Modulation spaces and Besov spaces.”
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, unknown): “∗ rauhut@hcm.uni-bonn.de, tino.ullrich@hcm.uni-bonn.de”
Banach frames for α-modulation spaces (2007, methodology): “A detailed discussion on the relations between continuous and discrete characterization of α-modulation spaces is given in [ 11 ], in the context of recent generalizations of the coorbit space theory [12,13,31].”