U.S.-Hungary Cooperative Mathematical Research on Vilenkin- Fourier Series

美匈维兰金-傅立叶级数合作数学研究

• 批准号: 8620153
• 负责人: William Wade
• 金额: $ 1.79万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-15 至 1991-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8620153&HistoricalAwards=false
• 关键词: U.S.; Hungary; Cooperative; Mathematical; Research

The primary objective of this U.S.-Hungary cooperative research project between Dr. William Wade of the University of Tennessee and Dr. Ferenc Schipp of Eotvos Lorand University is to extend the martingale-based techniques of mathematics research to study the full sequence of partial sums of a Vilenkin-Fourier series. Results are expected to throw light on the classical case of trigonometric series and lead to definition of relationships to other fields like probability theory and number theory. This project in mathematics fulfills the program objective of advancing scientific knowledge by enabling leading scientific experts in the United States and Eastern Europe to combine complementary talents, pool resources and share research experience in areas of strong mutual interest and competence.

美国的主要目标是-匈牙利合作研究 田纳西大学的威廉·韦德博士和 Eotvos Lorand大学的Ferenc Schipp博士将延长 基于鞅技术的数学研究，充分研究 Vilenkin-Fourier级数的部分和序列。 结果 希望能解释三角级数的经典情形 并导致定义与其他领域的关系， 概率论和数论 这个数学项目实现了以下计划目标： 推动科学知识，使领先的科学专家 联合收割机互补 人才，集中资源，分享研究经验， 强烈的共同兴趣和能力。