Memoirs of the American Mathematical Society 1996; 52 pp; softcover Volume: 119 ISBN10: 0821804855 ISBN13: 9780821804858 List Price: US$40 Individual Members: US$24 Institutional Members: US$32 Order Code: MEMO/119/568
 In this book, the authors introduce a matricial approach to the truncated complex moment problem and apply it to the case of moment matrices of flat data type, for which the columns corresponding to the homogeneous monomials in \(z\) and \(\bar z\) of highest degree can be written in terms of monomials of lower degree. Necessary and sufficient conditions for the existence and uniqueness of representing measures are obtained in terms of positivity and extension criteria for moment matrices. Readership Graduate students and research mathematicians. Table of Contents  Introduction
 Moment matrices
 Positive moment matrices and representing measures
 Existence of representing measures
 Extension of flat positive moment matrices
 Applications
 Generalizations to several variables
 References
 List of symbols
