Mathematical Sciences: Miniconferences on Harmonic Analysis, Real Analysis, and Related Areas

该奖项将继续部分资助一个项目，该项目自1986年以来每年赞助两次关于实数和谐波分析的小型会议。这些会议在奥本大学举行，主要吸引来自东南部各州的与会者。参加这些会议的人数不断增加，并促进了地理和学术领域的活动。谐波分析结合了最能体现综合思想的数学元素。人们试图把复杂的问题分解成基本的组成部分。然后分析这些组件的基本特性。最后，通过组件的重组重构解。傅里叶级数和傅里叶变换是在这种情况下使用的工具的例子；一个是离散的，另一个是连续的。最近，振荡积分理论为一些更经典的谐波分析方法增加了新的维度。

DMS-9500235 de Souza/Brown This award will continue to partially a program that has sponsored two mini-conferences on real and harmonic analysis a year since 1986. These conferences are held at Auburn University, and attracts participants primarily form the southeastern states. These meetings have enjoyed a steady increase in level of participation and served as a stimulant for activity in both the geographic and academic area. Harmonic analysis combines those elements of mathematics best exemplifying the ideas of synthesis. One seeks to decompose complex problems into fundamental components. These components are then analyzed for their basic characteristics. Finally, the solution is reconstructed through a recombination of the components. The Fourier series and Fourier transform are examples of tools used in this context; one discrete , the other representing a continuous decomposition. More recently the theory of oscillatory integrals added new dimensions to some of the more classical approaches to harmonic analysis.