{"extern":"1","intvolume":"        19","article_type":"original","publication_status":"published","oa":1,"oa_version":"Preprint","type":"journal_article","year":"2019","author":[{"first_name":"Guan","last_name":"Huang","full_name":"Huang, Guan"},{"first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim","last_name":"Kaloshin","orcid":"0000-0002-6051-2628"}],"title":"On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables","_id":"8416","volume":19,"date_updated":"2021-01-12T08:19:08Z","month":"04","page":"307-327","date_created":"2020-09-17T10:41:36Z","issue":"2","language":[{"iso":"eng"}],"article_processing_charge":"No","publisher":"American Mathematical Society","abstract":[{"lang":"eng","text":"In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table Ω0 preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through Ω0."}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.17323/1609-4514-2019-19-2-307-327","citation":{"short":"G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.","apa":"Huang, G., &#38; Kaloshin, V. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. <i>Moscow Mathematical Journal</i>. American Mathematical Society. <a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">https://doi.org/10.17323/1609-4514-2019-19-2-307-327</a>","ista":"Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.","mla":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” <i>Moscow Mathematical Journal</i>, vol. 19, no. 2, American Mathematical Society, 2019, pp. 307–27, doi:<a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">10.17323/1609-4514-2019-19-2-307-327</a>.","chicago":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” <i>Moscow Mathematical Journal</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">https://doi.org/10.17323/1609-4514-2019-19-2-307-327</a>.","ama":"Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. <i>Moscow Mathematical Journal</i>. 2019;19(2):307-327. doi:<a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">10.17323/1609-4514-2019-19-2-307-327</a>","ieee":"G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” <i>Moscow Mathematical Journal</i>, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019."},"status":"public","day":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.09341"}],"date_published":"2019-04-01T00:00:00Z","publication_identifier":{"issn":["1609-4514"]},"external_id":{"arxiv":["1809.09341"]},"quality_controlled":"1","publication":"Moscow Mathematical Journal"}