Correction to the article Relative spherical functions on ℘-adic symmetric spaces (three cases)

Omer Offen

Vol. 236 (2008), No. 1, 195–200

DOI: 10.2140/pjm.2008.236.195

Correction to Pacific Journal of Mathematics 215 (2004) 97–149

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

℘-adic symmetric spaces, spherical functions, Plancherel measure

Mathematical Subject Classification 2000

Primary: 11E95, 11F85

Secondary: 11F67

Milestones

Received: 7 February 2008

Accepted: 13 February 2008

Published: 1 May 2008