Coorbit equivalence of dilation groups is characterized by agreement of essential frequency supports together with quasi-isometry of their full orbit maps, and no irreducible dilation group can realize general anisotropic Besov spaces.
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On wavelet coorbit spaces associated to different dilation groups
Coorbit equivalence of dilation groups is characterized by agreement of essential frequency supports together with quasi-isometry of their full orbit maps, and no irreducible dilation group can realize general anisotropic Besov spaces.