Partial Cosine-Funk Transforms at Poles of the ${\text{Cos}}^{\lambda }$ Transform on Grassmann Manifolds

Adam Cross, Gestur Ólafsson

The cosine-$\lambda$ transform, denoted ${\mathcal{C}}^{\lambda }$, is a family of integral transforms we can define on the sphere and on the Grassmann manifolds $\textrm{Gr}(p, \mathbb{K}^n) = \te…