Add to ORKGAbstract. Suppose that K ⊂ U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group Hn. We say that (K,Hn) is a Gelfand pair if the convolution algebra L1K(Hn) of integrable K-invariant functions on Hn is commu-tative. In this case, the Gelfand space ∆(K,Hn) is equipped with the Godement-Plancherel measure, and the spherical transform ∧ : L2K(Hn) → L2(∆(K,Hn)) is an isometry. The main result in this paper provides a complete characterization of the set SK(Hn) ∧ = {f ̂ | f ∈ SK(Hn)} of spherical transforms of K-invariant Schwartz functions on Hn. We show that a function F on ∆(K,Hn) belongs to SK(Hn)∧ if and only if the functions obtained from F via application of certain derivatives and difference operators satisfy de...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
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 ...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
Let K be a closed Lie subgroup of the unitary group U(n) acting by au-tomorphisms on the (2n+1)-dime...
Abstract. Let K be a compact Lie group acting on a finite dimensional Hermitian vector space V via s...
Let H_n be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of H_n s...
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 K a compact group of automorphisms of ...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
Abstract. Let Hn be the (2n + 1)–dimensional Heisenberg group and K a compact group of automorphisms...
. Let K be a closed subgroup of U (n) acting on the (2n+1)-dimensional Heisenberg group Hn by automo...
We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform assoc...
Abstract. Let(N,K) be a nilpotent Gelfand pair, i.e., N is a nilpotent Lie group, K a compact group ...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
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 ...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
Let K be a closed Lie subgroup of the unitary group U(n) acting by au-tomorphisms on the (2n+1)-dime...
Abstract. Let K be a compact Lie group acting on a finite dimensional Hermitian vector space V via s...
Let H_n be the (2n + 1)-dimensional Heisenberg group and K a compact group of automorphisms of H_n s...
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 K a compact group of automorphisms of ...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
Abstract. Let Hn be the (2n + 1)–dimensional Heisenberg group and K a compact group of automorphisms...
. Let K be a closed subgroup of U (n) acting on the (2n+1)-dimensional Heisenberg group Hn by automo...
We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform assoc...
Abstract. Let(N,K) be a nilpotent Gelfand pair, i.e., N is a nilpotent Lie group, K a compact group ...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
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 ...