Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group

DOI10.1007/s11425-012-4510-zzbMath1266.22012OpenAlexW2141028993MaRDI QIDQ1945482

XiaoJie Zhu, He Ping Liu

Publication date: 8 April 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4510-z

zbMATH Keywords

Heisenberg groupsub-Laplacianjoint eigenfunctionDirac type operatorHeisenberg fan

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Analysis on real and complex Lie groups (22E30) Hyperfunctions, analytic functionals (46F15) Analysis on other specific Lie groups (43A80)

Cites Work

• Unnamed Item
• Harmonic analysis as spectral theory of Laplacians
• Topics in harmonic analysis on homogeneous spaces
• Eigenspaces of the Laplacian ; integral representations and irreducibility
• Eigenfunctions of invariant differential operators on a symmetric space
• Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian

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