Mathematical Sciences: Conference on Harmonic Analysis to Honor Donald J. Newman; March 11-14, 1996; Philadelphia, PA.

小行星9530310 该奖项为谐波应用会议提供支持 数论和近似理论中的分析。这次会议是 为荣誉唐纳德·J·纽曼，重点是数学领域 受到了纽曼思想的影响。会议将创造 在两个重要领域， 古典数学领域。 数论的历史根源在于对整数的研究， 解决诸如一的可分性等问题， 一个数字的另一个。它是最古老的数学分支之一， 几个世纪以来，纯粹出于美学的原因。 然而没过 在过去半个世纪中，它已成为各种 在数据传输和处理等领域的应用，以及 通信系统。调和分析结合了数学的这些元素 最好地体现了综合的思想。 一个试图分解复杂的 问题转化为基本要素。 然后分析这些成分， 其基本特征。最后，通过 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;一个离散的，其他 代表 持续的分解调和分析是研究整数的一个非常有用的工具。

9530310 Ehrenpreis This award provides support for a conference on applications of harmonic analysis in number theory and approximation theory. The conference is being held in honor of Donald J. Newman, and the emphasis is on areas of mathematics that have been influenced by Newman's ideas. The conference will create opportunities for cross-fertilization of ideas among workers in two important areas of classical mathematics. Number theory has its historical roots in the study of the whole numbers, addressing such questions as those dealing with the divisibility of one whole number by another. It is among the oldest branches of mathematics and was pursued for many centuries for purely aesthetic reasons. However, within the last half century it has become an indispensable tool in diverse applications in areas such as data transmission and processing, and communication systems. 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. Harmonic analysis is a surprisingly useful tool in studying whole numbers.