Proposal for funding for the Show-Me lectures

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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.