Proposal for funding for the Show-Me lectures

展示讲座是一系列的会议 在数学分析由以下四个机构组织：密苏里大学哥伦比亚分校，密苏里大学圣路易斯分校，密苏里大学罗拉分校， 和圣路易斯的华盛顿大学。在以前的Show-Me会议上，已经就分析的许多主题发表了几次演讲，例如群分析，Banach空间理论，微分方程，调和分析， 和概率论。这些讲座提出了著名的数学家来自世界各地。与会者不仅限于某个领域的专家，而且还包括希望更多地了解另一个领域并探索与他们领域可能联系的普通观众。这种联系确实出现在许多情况下，并在若干场合导致了富有成果的讨论和合作。这些会议促成了许多高质量的合作，并启动了另外几项合作。我们相信，这些合作不仅有利于相关的研究人员，而且还加强和统一了数学分析领域作为一个实体。数学分析可以被看作是数学的一部分，其主要根源在于微积分。 它的主要概念是导数和积分，它们出现在许多不同的设置中。数学分析为应用数学，物理学，天文学和其他领域提供了基础，是当今数学中更有活力，可行和适用的领域之一。在对科学和纯数学重要的分析的许多子专业中，人们可以引用积分变换理论，它在层析成像中起着重要的作用，小波理论，近年来已经彻底改变了信号处理的研究，以及巴拿赫空间的理论，数学家们在其中构建了一个无限多维的丰富的宇宙。最近的Showme研讨会包括每个主题的主要讲座，以及分析中的许多其他主题，由著名的数学家，有些来自密苏里州的四所大学，有些来自更远的地方。Showme会议的主要目的是刺激，促进和加强数学分析的不同群体之间的互动。除了刺激讲座，这些会议为密苏里州和附近各州的分析师提供了极好的机会，以了解彼此的工作，并发起合作。我们期待着在未来的时间里有更多富有成果的研讨会。

The Show-Me Lectures is a series ofmeetings in mathematical analysisorganized by the following four institutions:the University of Missouri-Columbia,the University of Missouri-St. Louis,the University of Missouri-Rolla, andWashington University in St. Louis.Several lectures have been delivered in previous Show-Me meetings on many topics of Analysis, such as analysis on groups, Banach space theory, differential equations, harmonic analysis, and probability theory. These lectures were presented by prominent mathematicians from all over the world. Attendance was not restricted to specialists from one field or another but was amimed at ageneral audience who wanted to learn more about another area and explore possible connections with theirs. Such connections have certainly appeared in many instances and in several occasions have led to fruitful discussions and collaborations. Many quality collaborations have been accomplished as a result of these meetings and several more havebeen initiated. It is our belief that these collaborationsbenefit not only the researchers involved but also strengthen and unify the field of mathematical analysis as an entity. Mathematical analysis can be viewed as the part ofmathematics whose primary roots lie in calculus. Its principal concepts are derivatives and integrals, which appear in a multitude of different settings.Mathematical analysis provides the foundation for applied mathematics, physics, astronomy and other areas, and is one of the more dynamic, viable, and applicable areas of mathematics today.Among the many subspecialties of analysis of importance to science and pure mathematics, one may cite the theoryof integral transforms, which plays a major role in tomography, the theory of wavelets, which in recent years has revolutionized the study of signal processing, and the theory of Banach spaces, in which mathematicians haveconstructed a richly endowed universe with infinitely many dimensions.Recent Showme seminars have included principal lectures on each of thesesubjects, and on numerous other topics in analysis, by distinguishedmathematicians, some from various of our four universities in Missouriand some from further afield. The primary objective of the Showme meetings is to stimulate, promote, and enhance interaction between the different groups of mathematical analysis.In addition to the stimulating lectures, these meetings are providing splendid opportunites for the analysts in Missouri and nearby states to learn about each other's work and to initiatecollaborations. We anticipate many more fruitful seminars in times tocome.