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math.RT2025
Quaternionic Spherical Fourier Multipliers for Gelfand Pairs
O. A. Ariyo, M. E. Egwe
Let denote the quaternionic Heisenberg group with stratification and a compact subgroup of Automorphism. We construct the spheri…
math.RT2025
A New Spherical Harmonics on the Heisenberg Group
M. E. Egwe
Let $\h_n$ be the -dimensional Heisenberg group. and let be the sublaplacian of the Lie algebra of $\h_n$ A new spherical harmonics with its orthogonal polyno…