Extension of positive-definite distributions and maximum entropy
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Bibliographic Information
Extension of positive-definite distributions and maximum entropy
（Memoirs of the American Mathematical Society, no. 489）
American Mathematical Society, 1993
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Note
Includes bibliographical references
"March 1993, volume 102, number 489(end of volume)" -- T.p
Description and Table of Contents
Description
In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.
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