Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Polynomial optimization on odd-dimensional spheres John P. D'Angelo and Mihai Putinar
 

Summary: Polynomial optimization on odd-dimensional spheres
John P. D'Angelo and Mihai Putinar
Abstract. The sphere S2d-1
naturally embeds into the complex affine space
Cd
. We show how the complex variables in Cd
simplify the known Striktpos-
itivstellens¨atze, when the supports are resticted to semi-algebraic subsets of
odd dimensional spheres.
Mathematics Subject Classification (2000). Primary 14P10; Secondary 32A70.
Keywords. Positive polynomial, Hermitian square, unit sphere, plurisubhar-
monic function.
1. Preliminaries
Let Cd
denote complex Euclidean space with Euclidean norm given by |z|2
=
d
j=1 |zj|2
. The unit, odd dimensional sphere
S2d-1

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics