Add to ORKGAbstract. Let K be a compact Lie group acting on a finite dimensional Hermitian vector space V via some unitary representation. Now K acts by automorphisms on the associated Heisenberg group HV = V × R and we say that (K,HV) is a Gelfand pair when the algebra L1K(HV) of integrable K-invariant functions on HV commutes under convolution. In this situation an application of the Orbit Method yields a injective mapping Ψ from the space ∆(K,HV) of bounded K-spherical functions on HV to the space h V /K of K-orbits in the dual of the Lie algebra for HV. We prove that Ψ is a homeomorphism onto its image provided that the action of K on V is “well-behaved ” in a sense made precise in this work. Our result encompasses a widely studied class of exampl...
The spectrum of a Gelfand pair of the form $(K\ltimes N,K)$, where $N$ is a nilpotent group, can be ...
Abstract. Let(N,K) be a nilpotent Gelfand pair, i.e., N is a nilpotent Lie group, K a compact group ...
If $(G,K)$ is a Gelfand pair, with $G$ a Lie group of polynomial growth and $K$ a compact subgroup ...
Let K be a closed Lie subgroup of the unitary group U(n) acting by au-tomorphisms on the (2n+1)-dime...
Abstract. Suppose that K ⊂ U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg g...
. Let K be a closed subgroup of U (n) acting on the (2n+1)-dimensional Heisenberg group Hn by automo...
A topological group G together with a compact subgroup K are said to form a Gelfand pair if the set ...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
Let H_n be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of H_n s...
AbstractLet Hn be the (2n+1)-dimensional Heisenberg group and K a compact group of automorphisms of ...
Abstract. Let Hn be the (2n + 1)–dimensional Heisenberg group and K a compact group of automorphisms...
Let Hn be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of Hn su...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
Abstract. Let K be a compact Lie group acting by automorphisms on a nilpotent Lie group N. One calls...
The spectrum of a Gelfand pair of the form $(K\ltimes N,K)$, where $N$ is a nilpotent group, can be ...
The spectrum of a Gelfand pair of the form $(K\ltimes N,K)$, where $N$ is a nilpotent group, can be ...
Abstract. Let(N,K) be a nilpotent Gelfand pair, i.e., N is a nilpotent Lie group, K a compact group ...
If $(G,K)$ is a Gelfand pair, with $G$ a Lie group of polynomial growth and $K$ a compact subgroup ...
Let K be a closed Lie subgroup of the unitary group U(n) acting by au-tomorphisms on the (2n+1)-dime...
Abstract. Suppose that K ⊂ U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg g...
. Let K be a closed subgroup of U (n) acting on the (2n+1)-dimensional Heisenberg group Hn by automo...
A topological group G together with a compact subgroup K are said to form a Gelfand pair if the set ...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
Let H_n be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of H_n s...
AbstractLet Hn be the (2n+1)-dimensional Heisenberg group and K a compact group of automorphisms of ...
Abstract. Let Hn be the (2n + 1)–dimensional Heisenberg group and K a compact group of automorphisms...
Let Hn be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of Hn su...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
Abstract. Let K be a compact Lie group acting by automorphisms on a nilpotent Lie group N. One calls...
The spectrum of a Gelfand pair of the form $(K\ltimes N,K)$, where $N$ is a nilpotent group, can be ...
The spectrum of a Gelfand pair of the form $(K\ltimes N,K)$, where $N$ is a nilpotent group, can be ...
Abstract. Let(N,K) be a nilpotent Gelfand pair, i.e., N is a nilpotent Lie group, K a compact group ...
If $(G,K)$ is a Gelfand pair, with $G$ a Lie group of polynomial growth and $K$ a compact subgroup ...