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.

田纳西大学的William Wade博士和Eotvos Lorand大学的Ferenc Schipp博士合作的这项美国-匈牙利合作研究项目的主要目标是将基于鞅的数学研究技术扩展到研究Vilenkin-Fourier级数的部分和的全序列。这些结果有望阐明三角级数的经典情况，并导致定义与其他领域的关系，如概率论和数论。这个数学项目通过使美国和东欧的顶尖科学专家能够在彼此感兴趣和能力很强的领域结合互补的人才、汇集资源和分享研究经验，实现了促进科学知识发展的计划目标。