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

数学科学：调和分析会议以纪念唐纳德·J·纽曼；

• 批准号: 9530310
• 负责人: Leon Ehrenpreis
• 金额: $ 1.2万
• 依托单位: Temple University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-03-01 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9530310&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Harmonic; Analysis; Mathematical; Sciences; Conference; Harmonic; Analysis

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.

9530310 Ehrenpreis该奖项为关于数字理论和近似理论中谐波分析应用的会议提供了支持。该会议是为了纪念唐纳德·J·纽曼（Donald J. Newman）而举行的，重点是受纽曼思想影响的数学领域。该会议将为在古典数学的两个重要领域的工人中的思想交叉利用创造机会。 数字理论在整个数字的研究中具有历史根源，解决了诸如处理一个整数的问题的问题。它是数学最古老的分支之一，由于纯粹的审美原因而被追捕了许多世纪。 但是，在过去的半个世纪中，它已成为数据传输和处理以及通信系统等领域的不同应用中必不可少的工具。谐波分析结合了数学的元素，最好地体现了综合观念。 人们试图将复杂的问题分解为基本组成部分。 然后分析这些组件的基本特征。最后，该解决方案是通过组件的重组重建的。傅立叶系列和傅立叶变换是在这种情况下使用的工具的示例。一个离散，另一个代表连续分解。谐波分析是研究整数的出奇有用的工具。