The composite cosine transform on the Stiefel manifold and generalized zeta integrals
The composite cosine transform on the Stiefel manifold and generalized zeta integrals
We introduce a new integral transform $T^\lam f$, $\lam \in C^m$, on the Stiefel manifold of orthonormal $m$-frames in $R^n$ which generalizes the $\lam$-cosine transform on the Grassmann manifold of $m$-dimensional linear subspaces of $R^n$. We call it the composite cosine transform, by taking into account that its kernel agrees …