We classify the connected Lie subgroups of the symplectic group Sp(2,R) whose elements are matrices in block lower triangular form. The classification is up to conjugation within Sp(2,R). Their study is motivated by the need of a unified approach to continuous 2D signal analyses, as those provided by wavelets and shearlets.
Reproducing subgroups of Sp(2,R). Part I: algebraic classification
ALBERTI, GIOVANNI;DE MARI CASARETO DAL VERME, FILIPPO;DE VITO, ERNESTO
2013-01-01
Abstract
We classify the connected Lie subgroups of the symplectic group Sp(2,R) whose elements are matrices in block lower triangular form. The classification is up to conjugation within Sp(2,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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