Construction and analysis of symmetry breaking operators for the pair $(\mathrm{GL}(n+1,\mathbb{R}),\mathrm{GL}(n,\mathbb{R}))$

Jonathan Ditlevsen, Jan Frahm

The pair of real reductive groups $(G,H)=(\mathrm{GL}(n+1,\mathbb{R}),\mathrm{GL}(n,\mathbb{R}))$ is a strong Gelfand pair, i.e. the multiplicities $\dim\operatorname{H…