Abstract

In the article being corrected, I provided explicit formulas for the spherical functions and the spherical Plancherel measure for 3 cases of ℘-adic symmetric spaces. In Case 2, an elementary mistake in a rank one computation (Lemma 5.3) led to providing the wrong formulas and the wrong support for the spherical Plancherel measure. Here I correct the rank one computation and its consequences.

Keywords

p-adic symmetric spaces, spherical functions, Plancherel measure

Mathematical Subject Classification

Primary: 11E95, 11F85

Secondary: 11F67

Authors