3 problems

Let $\ell^1(h)$ be the weighted $\ell^1$-algebra associated with the little $q$-Legendre polynomial hypergroup, where $h$ is its Haar weight. Weak amenability conjecture. The algeb…

Let $\alpha>-\frac{1}{2}$, $\lambda\geq0$, and $\nu\geq0$, and let $(Q_n^{(\alpha,\lambda,\nu)}(x))_{n\in\mathbb{N}_0}$ be the associated symmetric Pollaczek polynomials. Property…

Let $q\in(0,1)$, and let $h$ be the Haar weight of the little $q$-Legendre polynomial hypergroup on $\mathbb{N}_0$, given by … The associated weighted convolution algebra is…