A note on special orthogonal groups following Waldspurger

Mathematics – Representation Theory

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This note is incorporated into the article "Multiplicity one theorems: the Archimedean case", arXiv:0903.1413, to appear in An

Scientific paper

The purpose of this note is to verify that the archimedean multiplicity one
theorems shown for orthogonal groups (as well as general linear and unitary
groups) in a previous paper of the authors remain valid for special orthogonal
groups. The necessary ingredients to establish this variant are due to
Waldspurger.

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