{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:19:14Z","timestamp":1762262354102,"version":"build-2065373602"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Rev. Mat. Iberoam."],"published-print":{"date-parts":[[2019,2,5]]},"abstract":"<jats:p>\n                    We prove two results about Wigner distributions. Firstly, that the Wigner transform is the only sesquilinear map\n                    <jats:inline-formula>\n                      <jats:tex-math>\\mathcal{S}(\\mathbb{R}^n) \\times \\mathcal{S}(\\mathbb{R}^n) \\to \\mathcal{S}(\\mathbb{R}^{2n})<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    which is bounded and covariant under phase-space translations and linear symplectomorphisms. Consequently, the Wigner distributions form the only set of quasidistributions which is invariant under linear symplectic transformations. Secondly, we prove that the maximal group of (linear or non-linear) coordinate transformations that preserves the set of (pure or mixed) Wigner distributions consists of the translations and the linear symplectic and antisymplectic transformations.\n                  <\/jats:p>","DOI":"10.4171\/rmi\/1056","type":"journal-article","created":{"date-parts":[[2019,2,5]],"date-time":"2019-02-05T17:30:09Z","timestamp":1549387809000},"page":"317-337","source":"Crossref","is-referenced-by-count":2,"title":["Quantum mappings acting by coordinate transformations on Wigner distributions"],"prefix":"10.4171","volume":"35","author":[{"given":"Nuno Costa","family":"Dias","sequence":"first","affiliation":[{"name":"Escola Superior N\u00e1utica Infante D. Henrique, Pa\u00e7o d'Arcos, Portugal and Universidade de Lisboa, Portugal"}]},{"given":"Jo\u00e3o Nuno","family":"Prata","sequence":"additional","affiliation":[{"name":"Escola Superior N\u00e1utica Infante D. Henrique, Pa\u00e7o d'Arcos, Portugal and Universidade de Lisboa, Portugal"}]}],"member":"2673","container-title":["Revista Matem\u00e1tica Iberoamericana"],"original-title":[],"link":[{"URL":"https:\/\/www.ems-ph.org\/fulltext\/10.4171\/rmi\/1056","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:09:05Z","timestamp":1762261745000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/rmi\/1056"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,5]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.4171\/rmi\/1056","relation":{},"ISSN":["0213-2230","2235-0616"],"issn-type":[{"type":"print","value":"0213-2230"},{"type":"electronic","value":"2235-0616"}],"subject":[],"published":{"date-parts":[[2019,2,5]]}}}