{"publication_status":"published","quality_controlled":"1","volume":16,"_id":"1904","status":"public","type":"journal_article","issue":"7","department":[{"_id":"RoSe"}],"scopus_import":1,"date_created":"2018-12-11T11:54:38Z","date_published":"2014-08-23T00:00:00Z","title":"Strichartz inequality for orthonormal functions","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"citation":{"short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.","chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.","ama":"Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526. doi:10.4171/JEMS/467","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.","ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526.","apa":"Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/467","mla":"Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467."},"month":"08","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"last_name":"Lewin","first_name":"Mathieu","full_name":"Lewin, Mathieu"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publist_id":"5191","intvolume":" 16","main_file_link":[{"url":"http://arxiv.org/abs/1306.1309","open_access":"1"}],"language":[{"iso":"eng"}],"year":"2014","date_updated":"2021-01-12T06:53:58Z","day":"23","publication":"Journal of the European Mathematical Society","doi":"10.4171/JEMS/467","page":"1507 - 1526","oa_version":"Submitted Version","oa":1,"publisher":"European Mathematical Society","abstract":[{"lang":"eng","text":"We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces."}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87"}