Extensions of positive-definite distributions and maximum entropy /
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| Author / Creator: | Gabardo, Jean-Pierre, 1958- |
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| Imprint: | Providence, R.I. : American Mathematical Society, 1993. |
| Description: | x, 94 p. ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society no. 489 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1444078 |
| Summary: | 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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| Item Description: | "March 1993, volume 102, number 489 (end of volume)." |
| Physical Description: | x, 94 p. ; 26 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 0821825518 |
