The space of bounded spherical functions on the free 2-step nilpotent Lie group
From MaRDI portal
Publication:941089
DOI10.1007/s00031-008-9016-yzbMath1180.22011OpenAlexW2123864932WikidataQ115389525 ScholiaQ115389525MaRDI QIDQ941089
Publication date: 4 September 2008
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00031-008-9016-y
Related Items (7)
Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups ⋮ Unnamed Item ⋮ An orbit model for the spectra of nilpotent Gelfand pairs ⋮ Unnamed Item ⋮ Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I: Rank-one actions on the centre ⋮ Spaces of bounded spherical functions on Heisenberg groups. I ⋮ Spaces of bounded spherical functions on Heisenberg groups. II
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
- Spherical functions on Euclidean space
- Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
- Some remarks on nilpotent orbits
- A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
- Orbit theory and representations of Lie groups with co-compact radical
- Bounded \(K\)-spherical functions on Heisenberg groups
- Unitary representation theory of exponential Lie groups
- The orbit method and Gelfand pairs, associated with nilpotent Lie groups
- A geometric criterion for Gelfand pairs associated with the Heisenberg group
- Saturated commutative spaces of Heisenberg type
- A classification of multiplicity free actions
- Spectra for Gelfand pairs associated with the Heisenberg group
- On Gelfand Pairs Associated with Solvable Lie Groups
- Représentations exceptionnelles des groupes semi-simples
- Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
- An algebra associated with the generalized sublaplacian
- Théorème central limite local sur certains groupes de Lie
- Unitary Representations of Lie Groups with Cocompact Radical and Applications
- Dual topology of a nilpotent Lie group
- The bounded spherical functions for the free two step nilpotent Lie group
- Gelfand pairs attached to representations of compact Lie groups
- A geometric criterion for Gelfand pairs associated with nilpotent Lie groups
This page was built for publication: The space of bounded spherical functions on the free 2-step nilpotent Lie group
