Quaternionic Spherical Fourier Multipliers for Gelfand Pairs

O. A. Ariyo, M. E. Egwe

Let ${\mathbb{H}}_q$ denote the quaternionic Heisenberg group with ${\mathbb{R}}^4\times {\mathbb{R}}^3$ stratification and $K$ a compact subgroup of Automorphism. We construct the spheri…