Vol. 205, No. 1, 2002

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José F. Fernando & Jesús M. Ruiz

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.

Authors
José F. Fernando
Depto. Algebra
Depto. Geometría y Topología
F. Ciencias Matemáticas
Universidad Complutense de Madrid
28040 Madrid
Spain
Jesús M. Ruiz
Depto. Algebra
Depto. Geometría y Topología
F. Ciencias Matemáticas
Universidad Complutense de Madrid
28040 Madrid
Spain