Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions
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Publication:621307
DOI10.1007/s00208-010-0525-3zbMath1207.22012arXiv0909.1735OpenAlexW2052141730MaRDI QIDQ621307
Publication date: 2 February 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1735
Harmonic analysis on homogeneous spaces (43A85) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items (4)
Conical representations for direct limits of symmetric spaces ⋮ The Paley-Wiener theorem and limits of symmetric spaces ⋮ Stepwise square integrable representations for locally nilpotent Lie groups ⋮ Radon transforms on Siegel-type nilpotent Lie groups
Cites Work
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- Representations of certain semidirect product groups
- Modified \(H\)-type groups and symmetric-like Riemannian spaces
- Commutative homogeneous spaces and co-isotropic symplectic actions
- Infinite Dimensional Multiplicity Free Spaces II: Limits of Commutative Nilmanifolds
- On a Problem of Montgomery
- Principal series representations of direct limit groups
- On Gelfand Pairs Associated with Solvable Lie Groups
- Weakly symmetric Riemannian manifolds with reductive isometry group
- A Bott-Borel-Weil theory for direct limits of algebraic groups
- Square Integrable Representations of Nilpotent Groups
- The classification of 𝐺-spaces
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