Order estimates for irreducible projections in \(L^ 2\) of a nilmanifold

DOI10.1016/0022-1236(85)90026-6zbMath0569.22008OpenAlexW2019176880MaRDI QIDQ1061248

Lawrence J. Corwin

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90026-6

zbMATH Keywords

nilpotent Lie groupKirillov orbit

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Cites Work

• Unnamed Item
• Unnamed Item
• Primary projections on \(L^2\) of a Nilmanifold
• A class of idempotent measures on compact nilmanifolds
• Character formulas and spectra of compact nilmanifolds
• Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold
• Poisson summation on Kirillov orbits
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Uniform distribution in solvmanifolds
• A canonical formula for the distribution kernels of primary projections in L2 of a nilmanifold
• Canonical Objects in Kirillov Theory on Nilpotent Lie Groups
• Square Integrable Representations of Nilpotent Groups
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold

This page was built for publication: Order estimates for irreducible projections in \(L^ 2\) of a nilmanifold