Solution of the truncated complex moment problem for flat data
著者
書誌事項
Solution of the truncated complex moment problem for flat data
（Memoirs of the American Mathematical Society, no. 568）
American Mathematical Society, 1996
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注記
"January 1996, volume 119, number 568 (first of 5 numbers)" -- T.p
Includes bibliographical references (p. 48-50)
内容説明・目次
内容説明
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.
目次
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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