A class of idempotent measures on compact nilmanifolds

DOI10.1007/BF02392017zbMath0315.43012OpenAlexW2079302274MaRDI QIDQ1221341

Leonard F. Richardson

Publication date: 1975

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392017

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Measures on groups and semigroups, etc. (43A05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (12)

Primary projections on \(L^2\) of a Nilmanifold ⋮ Central idempotent measures on a nilmanifold ⋮ Square integrable representations and nilmanifolds ⋮ Pompeiu sets in compact Heisenberg manifolds ⋮ Global Solvability on Compact Heisenberg Manifolds ⋮ Zeroes of primary summand functions on compact solvmanifolds ⋮ A general character formula for irreducible projections on \(L^2\) of a nilmanifold ⋮ Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold ⋮ Primary Summand Functions on Three-Dimensional Compact Solvmanifolds ⋮ Poisson summation on Kirillov orbits ⋮ A Fourier transform for compact nilmanifolds with flat orbits ⋮ Order estimates for irreducible projections in \(L^ 2\) of a nilmanifold

Cites Work

• Character formulas and spectra of compact nilmanifolds
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Flows on Homogeneous Spaces. (AM-53)
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
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