报告题目：A convenient setting for infinite-dimensional analysis
报告时间：2025-12-19（周五） 16:30-17:30
报 告 人 ：张旭 教授 四川大学
报告地点：雷军科技楼六楼644报告厅
腾讯会议ID：614-160-963（同步直播）
报告摘要：
In this lecture, I will present a convenient setting that we proposed for infinite-dimensional analysis, in which differentiation (in some weak sense) and integration operations can be easily performed, integration by parts can be conveniently established under rather weak conditions, and especially some nice properties and consequences obtained by convolution in Euclidean spaces can be extended to infinite-dimensional spaces in some sense by taking the limit. Compared to the existing tools in infinite-dimensional analysis, our setting enjoys more convenient and clearer links with that of finite dimensions, and hence it is more suitable for computation and studying some analysis problems in infinite-dimensional spaces.
专家简介：
张旭，四川大学教授，研究领域为控制论与无限维分析，主要工作发表在SIAM Rev.、Comm. Pure Appl. Math.、J. Eur. Math. Soc.和Mem. Amer. Math. Soc.等刊，并在Springer出版专著3部。他曾获国家自然科学二等奖和美国工业与应用数学学会SIGEST论文奖，获国家杰出青年科学基金和国家自然科学基金重点项目等资助，入选全国模范教师、教育部重要人才计划、国家特支计划领军人才、“十一五”期间《国家自然科学基金资助项目优秀成果选编》和《国家杰出青年科学基金二十周年巡礼》等，先后担任控制领域顶刊SIAM J. Control Optim.等10余份国际学术杂志的编委、副主编或主编，并应邀在国际数学家大会作45分钟报告。
