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Solution of the Truncated Complex Moment Problem for Flat Data
 
Raúl E. Curto University of Iowa, Iowa City, IA
Lawrence A. Fialkow State University of New York
Solution of the Truncated Complex Moment Problem for Flat Data
eBook ISBN:  978-1-4704-0147-4
Product Code:  MEMO/119/568.E
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $24.00
Solution of the Truncated Complex Moment Problem for Flat Data
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Solution of the Truncated Complex Moment Problem for Flat Data
Raúl E. Curto University of Iowa, Iowa City, IA
Lawrence A. Fialkow State University of New York
eBook ISBN:  978-1-4704-0147-4
Product Code:  MEMO/119/568.E
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $24.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1191996; 52 pp
    MSC: Primary 44; 47; Secondary 15;

    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
     
     
    • Chapters
    • 1. Introduction
    • 2. Moment matrices
    • 3. Positive moment matrices and representing measures
    • 4. Existence of representing measures
    • 5. Extension of flat positive moment matrices
    • 6. Applications
    • 7. Generalizations to several variables
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1191996; 52 pp
MSC: Primary 44; 47; Secondary 15;

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.

  • Chapters
  • 1. Introduction
  • 2. Moment matrices
  • 3. Positive moment matrices and representing measures
  • 4. Existence of representing measures
  • 5. Extension of flat positive moment matrices
  • 6. Applications
  • 7. Generalizations to several variables
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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