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• W161008027 abstract "We consider the (extended) metaplectic representation of the semidirect product G=Hd⋊Sp(d,R) between the Heisenberg group and the symplectic group. Subgroups H=Σ⋊D, with Σ being a d×d symmetric matrix and D a closed subgroup of GL(d,R), are our main concern. We shall give a general setting for the reproducibility of such groups which include and assemble the ones for the single examples treated in Cordero et al. (2006) [4]. As a byproduct, the extended metaplectic representation restricted to some classes of such subgroups is either the Schrödinger representation of R2d or the wavelet representation of Rd⋊D, with D closed subgroup of GL(d,R). Finally, we shall provide new examples of reproducing groups of the type H=Σ⋊D, in dimension d=2." @default.
• W161008027 created "2016-06-24" @default.
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• W161008027 date "2013-05-01" @default.
• W161008027 modified "2023-09-28" @default.
• W161008027 title "Triangular subgroups of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mrow><mml:mi mathvariant=italic>Sp</mml:mi></mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant=double-struck>R</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>and reproducing formulae" @default.
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• W161008027 doi "https://doi.org/10.1016/j.jfa.2013.02.004" @default.
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