Primary projections on \(L^2\) of a Nilmanifold

DOI10.1016/0022-1236(79)90050-8zbMath0419.22012OpenAlexW2067767344MaRDI QIDQ1132205

J. W. Jenkins

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90050-8

zbMATH Keywords

unitary representationnilpotent Lie grouptempered distributionprojection operatorKirillov model

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Related Items

Poisson summation on Kirillov orbits ⋮ Order estimates for irreducible projections in \(L^ 2\) of a nilmanifold

Cites Work

• Unnamed Item
• Unnamed Item
• A class of idempotent measures on compact nilmanifolds
• A general character formula for irreducible projections on \(L^2\) of a nilmanifold
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Decomposition of the L 2 -Space of a General Compact Nilmanifold