Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold

DOI10.1016/0022-1236(76)90051-3zbMath0338.43013OpenAlexW2025128532MaRDI QIDQ1231122

Frederick P. Greenleaf, Lawrence J. Corwin

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90051-3

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) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80) Character groups and dual objects (43A40)

Related Items (9)

Rational Subspaces of Induced Representations and Nilmanifolds ⋮ Central idempotent measures on a nilmanifold ⋮ Harmonic analysis on two and three-step nilmanifolds ⋮ Global Solvability on Compact Heisenberg Manifolds ⋮ A general character formula for irreducible projections on \(L^2\) of a nilmanifold ⋮ The Plancherel measure in nilpotent Lie groups as a limit of point measures ⋮ 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

• Unnamed Item
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• Idempotent measures on abelian groups
• A class of idempotent measures on compact nilmanifolds
• Character formulas and spectra of compact nilmanifolds
• Intertwining operators for representations induced from uniform subgroups
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Uniform distribution in solvmanifolds
• On a Conjecture of Littlewood and Idempotent Measures
• Harmonic Analysis on Nilmanifolds
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• Note on Harmonic Functions

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