Geometric classification of semidirect products in the maximal parabolic subgroup of Sp(2, ℝ)

DOI10.1142/S0219530515500256zbMath1370.22008arXiv1402.5833OpenAlexW2249925687MaRDI QIDQ2962427

Ernesto De Vito, Filippo de Mari, Stefano Vigogna

Publication date: 16 February 2017

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5833

zbMATH Keywords

symplectic groupwaveletmetaplectic representationsemidirect product

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Analysis on other specific Lie groups (43A80)

Cites Work

• Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification
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• Banach spaces related to integrable group representations and their atomic decompositions. II
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• Reproducing subgroups of \(\mathrm{Sp}(2,\mathbb R)\). II: Admissible vectors
• Analytic features of reproducing groups for the metaplectic representation
• Different faces of the shearlet group
• Isotropic Shearlet Analogs forL²(ℝ^k) and Localization Operators
• Dimensional upper bounds for admissible subgroups for the metaplectic representation
• Ten Lectures on Wavelets
• Nets of conics
• Wavelets with composite dilations
• Anisotropic shearlet transforms for L²
• Lie groups beyond an introduction
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