Positive definite collections of disks

Details Positive definite collections of disks Positive definite collections of disks

2007-09-27

arxiv.org/abs/0709.4460v1

Indiana Univ. Math. J., 55 (2006), no. 6, 1907-1934

Mathematics

Complex Variables

24 pages

Scientific paper

10.1512/iumj.2006.55.3004

Let $Q(z,w)=-\prod_{k=1}^n [(z-a_k)(\bar{w}-\bar{a}_k)-R_k^2]$. M. Putinar and B. Gustafsson proved recently that the matrix $Q(a_i,a_j)$, $1\leq i,j\leq n$, is positive definite if disks $|z-a_i|

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