scientific article; zbMATH DE number 1201810
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Publication:4210555
zbMath0897.22013MaRDI QIDQ4210555
Publication date: 22 September 1998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
spherical functionsHeisenberg grouprepresentationpolynomialsGelfand pairgeneralized binomial coefficients
Analysis on real and complex Lie groups (22E30) Summability methods on groups, semigroups, etc. (43A55)
Related Items
Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups ⋮ An orbit model for the spectra of nilpotent Gelfand pairs ⋮ Gelfand pairs on the Heisenberg group and Schwartz functions ⋮ The spherical transform of a Schwartz function on the Heisenberg group ⋮ Combinatorics and invariant differential operators on multiplicity free spaces.
Cites Work
- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
- Some remarks on nilpotent orbits
- Bounded \(K\)-spherical functions on Heisenberg groups
- The spherical transform of a Schwartz function on the Heisenberg group
- Shifted Jack polynomials, binomial formula, and applications
- A classification of multiplicity free actions
- On a problem of Klee concerning convex polytopes
- Function spaces and reproducing kernels on bounded symmetric domains
- Spectra for Gelfand pairs associated with the Heisenberg group
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