{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:29:06Z","timestamp":1747189746075,"version":"3.40.5"},"reference-count":44,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"name":"MPNTR of Serbia","award":["451-03-47\/2023-01\/200125"],"award-info":[{"award-number":["451-03-47\/2023-01\/200125"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Anal. Appl."],"published-print":{"date-parts":[[2023,11]]},"abstract":"<jats:p> We introduce and study continuity properties of the Gabor product [Formula: see text] and relate it to the well-known product formula for the short-time Fourier transform (STFT). We derive a phase space representation of the cubic nonlinear Schr\u00f6dinger equation in terms of the Gabor product, and discuss how the Gabor product can be used in the study of nonlinear dynamics of mixed quantum states. <\/jats:p>","DOI":"10.1142\/s0219530523500252","type":"journal-article","created":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T15:37:15Z","timestamp":1694619435000},"page":"1417-1446","source":"Crossref","is-referenced-by-count":0,"title":["Gabor products and a phase space approach to nonlinear analysis"],"prefix":"10.1142","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9019-8406","authenticated-orcid":false,"given":"Nuno Costa","family":"Dias","sequence":"first","affiliation":[{"name":"Grupo de F\u00edsica Matem\u00e1tica, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias Universidade de Lisboa, Campo Grande, Edif\u00edcio C6, 1749-016 Lisboa, Portugal"},{"name":"Escola Superior N\u00e1utica Infante D. Henrique. Av. Eng. Bonneville Franco, 2770-058 Pa\u00e7o d\u2019Arcos, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0363-2869","authenticated-orcid":false,"given":"Jo\u00e3o Nuno","family":"Prata","sequence":"additional","affiliation":[{"name":"Grupo de F\u00edsica Matem\u00e1tica, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias Universidade de Lisboa, Campo Grande, Edif\u00edcio C6, 1749-016 Lisboa, Portugal"},{"name":"Escola Superior N\u00e1utica Infante D. Henrique. Av. Eng. Bonneville Franco, 2770-058 Pa\u00e7o d\u2019Arcos, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3071-3637","authenticated-orcid":false,"given":"Nenad","family":"Teofanov","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, Faculty of Sciences University of Novi Sad, Trg D. 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