Completeness problems, Carleson measures, and spaces of analytic functions

该奖项为参加将于2015年7月6日至10日在瑞典Djursholm的Mittag-Leffler研究所举行的“完备性问题、Carleson测度和解析函数空间”国际会议的美国参与者提供资金。本次会议汇集了众多国际权威人士，探讨谐波分析、复分析和算子理论的界面。会议的主题在数学的几个领域都有广泛的兴趣，也有数学以外的影响。特别是，完备性问题与Sturm-Liouville和薛定谔微分方程的解有关，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、完备性问题和Carleson测度的最新进展；特别是最近在该领域的两个惊人的发展：Poltoratski对某些微分方程特征函数解的完备性的研究和Lacey对Carleson测度的研究。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，解决这一领域的研究挑战，可能会产生重要的新问题，激发进一步的研究和新的合作，并带来新的突破。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

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