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Solution of the Truncated Complex Moment Problem for Flat Data
Raúl E. Curto, University of Iowa, Iowa City, IA, and Lawrence A. Fialkow, State University of New York, College at New Paltz, NY

Memoirs of the American Mathematical Society
1996; 52 pp; softcover
Volume: 119
ISBN-10: 0-8218-0485-5
ISBN-13: 978-0-8218-0485-8
List Price: US$40
Individual Members: US$24
Institutional Members: US$32
Order Code: MEMO/119/568
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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.


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
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