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 |
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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 119; 1996; 52 ppMSC: 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.
ReadershipGraduate students and research mathematicians.
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Table of Contents
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Chapters
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1. Introduction
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2. Moment matrices
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3. Positive moment matrices and representing measures
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4. Existence of representing measures
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5. Extension of flat positive moment matrices
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6. Applications
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7. Generalizations to several variables
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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.
-
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