Poisson summation on Kirillov orbits

DOI10.1007/BF01351488zbMath0377.43010MaRDI QIDQ1246700

Leonard F. Richardson

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163220

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) 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)

Related Items

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

Cites Work

• 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
• Uniform distribution in solvmanifolds
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• A canonical formula for the distribution kernels of primary projections in L2 of a nilmanifold
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
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