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Let $${\mathbb {S}}$$S be a locally compact abstract shearlet group and $$\sigma :{\mathbb {S}}\rightarrow {\mathcal {U}}({\mathcal {H}})$$σ:S→U(H) be a representation of $${\mathbb {S}}$$S on a separable Hilbert space $${\mathcal {H}}$$H.… Click to show full abstract
Let $${\mathbb {S}}$$S be a locally compact abstract shearlet group and $$\sigma :{\mathbb {S}}\rightarrow {\mathcal {U}}({\mathcal {H}})$$σ:S→U(H) be a representation of $${\mathbb {S}}$$S on a separable Hilbert space $${\mathcal {H}}$$H. We give a necessary and sufficient condition for the family of representation coefficients to be a continuous shearlet frame. Furthermore relations between continuous shearlet frames associated to a given representation and its irreducible sub-representations are investigated.
Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
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