Measures with zeros in the inverse of their moment matrix
成果类型：
Article
署名作者：
Helton, J. William; Lasserre, Jean B.; Putinar, Mihai
署名单位：
University of California System; University of California San Diego; Centre National de la Recherche Scientifique (CNRS); University of California System; University of California Santa Barbara
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/07-AOP365
发表日期：
2008
页码：
1453-1471
关键词：
摘要：
We investigate and discuss when the inverse of a multivariate truncated moment matrix of a measure mu has zeros in some prescribed entries. We describe precisely which pattern of these zeroes corresponds to independence, namely, the measure having a product structure. A more refined finding is that the key factor forcing a zero entry in this inverse matrix is a certain conditional triangularity property of the orthogonal polynomials associated with mu.