Central idempotent measures on a nilmanifold

DOI10.1016/0022-1236(80)90101-9zbMath0444.43010OpenAlexW2010162983MaRDI QIDQ1144753

Richard C. Penney

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90101-9

zbMATH Keywords

nilmanifoldcentral idempotent measure

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (1)

Square integrable representations and nilmanifolds

Cites Work

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• Idempotent measures on abelian groups
• A class of idempotent measures on compact nilmanifolds
• Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold
• Central measures on compact simple Lie groups
• Central idempotent measures on connected locally compact groups
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• On a Conjecture of Littlewood and Idempotent Measures
• Central Idempotent Measures on Compact Groups
• Central Idempotent Measures on Unitary Groups
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• Note on Harmonic Functions

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