Reproducing subgroups of $Sp(2,\mathbb{R})$. Part I: algebraic classification
2013
We classify the connected Lie subgroups of the symplectic group $Sp(2,{\mathbb{R}})$
whose elements are matrices in block lower triangular form. The classification is up to conjugation within $Sp(2,{\mathbb{R}})$
. Their study is motivated by the need of a unified approach to continuous 2D signal analyses, as those provided by wavelets and shearlets.
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