\(L^2\) spectral decomposition on the Heisenberg group associated to the action of \(\text{U}(p,q)\)
From MaRDI portal
Publication:1587511
DOI10.2140/pjm.2000.193.327zbMath1009.43005OpenAlexW1965130321MaRDI QIDQ1587511
Publication date: 3 December 2000
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2000.193.327
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Analysis on specific locally compact and other abelian groups (43A70)
Related Items
Explicit fundamental solution for the operator \(L+\alpha |T|\) on the Gelfand pair \((\mathbb{H}_n,U(n))\). ⋮ Some spherical analysis related to the pairs \((U(n),H_n)\) and \((U(p,q),H_n),p + q = n\)
