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Reproducing subgroups of $Sp(2,\mathbb{R})$. Part I: algebraic classification

Giovanni S. Alberti·Luca Balletti·Filippo De Mari·Ernesto De Vito
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Abstract

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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Giovanni S. Alberti, Luca Balletti, Filippo De Mari, Ernesto De Vito. 2015-11-02. Reproducing subgroups of $Sp(2,\mathbb{R})$. Part I: algebraic classification. https://doi.org/10.1007/s00041-012-9255-0

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