Some open problems regarding the determination of a set from its covariogram
We present and discuss some open problems related to the determination of a set <em>K</em> from its covariogram, i.e. the function which provides the volumes of the intersections of <em>K</em> with all its possible translates.<br />
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2005-11-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/148 |
| _version_ | 1818316583699742720 |
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| author | Gabriele Bianchi |
| author_facet | Gabriele Bianchi |
| author_sort | Gabriele Bianchi |
| collection | DOAJ |
| description | We present and discuss some open problems related to the determination of a set <em>K</em> from its covariogram, i.e. the function which provides the volumes of the intersections of <em>K</em> with all its possible translates.<br /> |
| first_indexed | 2024-12-13T09:23:44Z |
| format | Article |
| id | doaj.art-3feeb8a2a2864ef29b79fdf449808c7b |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-13T09:23:44Z |
| publishDate | 2005-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-3feeb8a2a2864ef29b79fdf449808c7b2022-12-21T23:52:41ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982005-11-01602247257126Some open problems regarding the determination of a set from its covariogramGabriele BianchiWe present and discuss some open problems related to the determination of a set <em>K</em> from its covariogram, i.e. the function which provides the volumes of the intersections of <em>K</em> with all its possible translates.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/148CovariogramJoint covariogramSet covarianceAutocorrelationChord length distributionIntersection with translatesPhase retrieval |
| spellingShingle | Gabriele Bianchi Some open problems regarding the determination of a set from its covariogram Le Matematiche Covariogram Joint covariogram Set covariance Autocorrelation Chord length distribution Intersection with translates Phase retrieval |
| title | Some open problems regarding the determination of a set from its covariogram |
| title_full | Some open problems regarding the determination of a set from its covariogram |
| title_fullStr | Some open problems regarding the determination of a set from its covariogram |
| title_full_unstemmed | Some open problems regarding the determination of a set from its covariogram |
| title_short | Some open problems regarding the determination of a set from its covariogram |
| title_sort | some open problems regarding the determination of a set from its covariogram |
| topic | Covariogram Joint covariogram Set covariance Autocorrelation Chord length distribution Intersection with translates Phase retrieval |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/148 |
| work_keys_str_mv | AT gabrielebianchi someopenproblemsregardingthedeterminationofasetfromitscovariogram |