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Completeness problems, Carleson measures, and spaces of analytic functions

完备性问题、卡尔森测度和分析函数空间

基本信息

批准号：
1500675
负责人：
Constanze Liaw
金额：
$ 1.61万
依托单位：
Baylor University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2015
资助国家：
美国
起止时间：
2015-02-01 至 2016-01-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1500675&HistoricalAwards=false
关键词：
Completeness problems Carleson measures spaces

项目摘要

This award provides funding to help defray the expenses of U.S. participants in the international conference "Completeness Problems, Carleson Measures, and Spaces of Analytic Functions" that will be held July 6-10, 2015, at the Mittag-Leffler Institute in Djursholm, Sweden. This conference brings together a host of international authorities to explore topics that lie at the interface of harmonic analysis, complex analysis, and operator theory. The topics of the conference are of wide interest in several areas of mathematics and also have impact outside of mathematics. In particular, the completeness problems are related to solution of Sturm-Liouville and Schroedinger differential equations, of importance in mathematical physics, and model spaces have important applications in control theory, of interest in engineering.The conference will focus on recent progress in function theory, model spaces, completeness problems, and Carleson measures; in particular, on two recent stunning developments in the area: Poltoratski's research into the completeness of eigenfunction solutions to certain differential equations and Lacey's work on Carleson measures. Bringing together seasoned researchers and promising young mathematicians to address research challenges in this area is likely to lead to important new questions, inspire further research and new collaborations, and lead to new breakthroughs. The conference program provides ample opportunity for graduate students, postdocs, and other young scientists to present their work. Conference web site: http://www.mittag-leffler.se/?q=150629

该奖项提供资金，以帮助支付国际会议“完备性问题，Carleson措施，和解析函数的空间”，将于2015年7月6日至10日，在米塔格-莱弗勒研究所在朱尔绍尔姆，瑞典的美国参与者的费用。这次会议汇集了一批国际权威人士，探讨调和分析，复分析和算子理论的接口。会议的主题是广泛的兴趣在几个领域的数学，也有影响以外的数学。特别是，完整性问题与Sturm-Liouville和Schroedinger微分方程的解有关，在数学物理中具有重要意义，模型空间在控制理论中具有重要应用，在工程中具有重要意义。会议将集中讨论函数理论，模型空间，完整性问题和Carleson测度的最新进展;特别是，在该领域的两个最新惊人的发展：Poltoratski的研究到完整的本征函数解决某些微分方程和莱西的工作Carleson措施。将经验丰富的研究人员和有前途的年轻数学家聚集在一起，以解决这一领域的研究挑战，可能会导致重要的新问题，激发进一步的研究和新的合作，并导致新的突破。会议计划为研究生，博士后和其他年轻科学家提供了充分的机会来展示他们的工作。会议网址：http://www.mittag-leffler.se/? q=150629