Signal Analyses in 2D, Part I

Details Signal Analyses in 2D, Part I Signal Analyses in 2D, Part I

2011-09-30

arxiv.org/abs/1109.6789v1

Mathematics

Group Theory

26 pages

Scientific paper

We classify the connected Lie subgroups of $\mathrm{Sp}(2,\mathbb R)$ whose
elements have the triangular form $h&0 \sigma h&^th^{-1}$. The classification
is up to conjugation within the symplectic group $\mathrm{Sp}(2,\mathbb R)$.
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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