1. Harmonic Analysis on Exceptional Domain E6(-14)/U(1)Spin(10)
- Abstract
Let D 16 = Z ∈ M 1 , 2 (C c) : 1 - Z , Z + Z ♯ , Z ♯ > 0 , 2 - Z , Z > 0
be an exceptional domain of non-tube type and let U ν and W ν the associated generalized Hua operators. In this paper, we determine the explicit formula of the action of the group E 6 (- 14) on D 16 . We characterized the L p -range, 1 ≤ p < ∞ of the generalized Poisson transform on the Shilov boundary of the domain D 16 . [ABSTRACT FROM AUTHOR]