Positive semidefinite germs on the cone

José F. Fernando and Jesús M. Ruiz

Vol. 205 (2002), No. 1, 109–118

DOI: 10.2140/pjm.2002.205.109

Abstract

We show that any positive semidefinite analytic function germ on the cone z² = x² + y² is a sum of two squares of analytic function germs.

Milestones

Received: 19 July 2000

Revised: 22 November 2000

Published: 1 July 2002