{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T17:34:12Z","timestamp":1780335252090,"version":"3.54.1"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"name":"National K&D Program of China","award":["2023YFA1008802"],"award-info":[{"award-number":["2023YFA1008802"]}]},{"DOI":"10.13039\/501100012269","name":"Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province","doi-asserted-by":"publisher","award":["2024RC1052"],"award-info":[{"award-number":["2024RC1052"]}],"id":[{"id":"10.13039\/501100012269","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12171412"],"award-info":[{"award-number":["12171412"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12288101"],"award-info":[{"award-number":["12288101"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004735","name":"Natural Science Foundation of Hunan Province","doi-asserted-by":"publisher","award":["2024JJ1008"],"award-info":[{"award-number":["2024JJ1008"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2025,2,28]]},"DOI":"10.1137\/24m165925x","type":"journal-article","created":{"date-parts":[[2025,2,7]],"date-time":"2025-02-07T09:37:37Z","timestamp":1738921057000},"page":"951-978","source":"Crossref","is-referenced-by-count":6,"title":["On the Approximation of Quasiperiodic Functions with Diophantine Frequencies by Periodic Functions"],"prefix":"10.1137","volume":"57","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8035-3775","authenticated-orcid":true,"given":"Kai","family":"Jiang","sequence":"first","affiliation":[{"name":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shifeng","family":"Li","sequence":"additional","affiliation":[{"name":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pingwen","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, School of Mathematical Sciences, Peking University, Beijing, 100871, China."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,2,7]]},"reference":[{"key":"ref1","volume-title":"M\u00e9moire d\u2019Habilitation de l\u2019Universit\u00e9 Pierre & Marie Curie-Paris VI","author":"F\u00e9joz J.","year":"2010"},{"key":"ref2","first-page":"133","volume":"3","author":"Aubry S.","year":"1980","journal-title":"Ann. Israel Phys. Soc."},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.53.1951"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-008-0667-2"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-2017-0013"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.076403"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.226401"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/080719066"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-016-0679-z"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.08.034"},{"key":"ref11","volume-title":"Almost Periodic Functions and Differential Equations","author":"Levitan B. M.","year":"1982"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/22M1524783"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100022027"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2010.14.41"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2010.14.75"},{"key":"ref16","series-title":"Lecture Notes in Math. 785","volume-title":"Diophantine Approximation","author":"Schmidt W. M.","year":"1980"},{"key":"ref17","first-page":"S33","volume":"28","author":"Milnor J.","year":"2006","journal-title":"Ann. Math. Stud."},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300000814"},{"key":"ref19","volume-title":"The Fast Fourier Transform and Its Applications","author":"Brigham E.","year":"1988"},{"key":"ref20","volume-title":"Matrix Analysis","author":"Horn A.","year":"1986"},{"key":"ref21","first-page":"545","volume":"272","author":"Lagarias J. C.","year":"1982","journal-title":"Trans. Amer. Math. Soc."},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.4064\/aa97-3-3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/0214016"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF01667310"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,2,7]],"date-time":"2025-02-07T09:37:46Z","timestamp":1738921066000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M165925X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,7]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,2,28]]}},"alternative-id":["10.1137\/24M165925X"],"URL":"https:\/\/doi.org\/10.1137\/24m165925x","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,2,7]]}}}