Analytic approximation

解析近似

• 批准号: 5597-2007
• 负责人: Gauthier, Paul
• 金额: $ 1.31万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=449833
• 关键词: Analytic; approximation

Approximation theory will be employed to investigate properties of functions belonging to the following classes: holomorphic, meromorphic, harmonic, subharmonic, pluriharmonic and plurisubharmonic. Two particular properties to be investigated are value distribution and universality. We hope to show, not only the existence, but even the prevalence, of universal functions in all classes considered. In particular, we shall investigate the universality propeties and value distribution of the Riemann zeta function

逼近理论将被用来研究属于以下类别的函数的性质：全纯函数，亚纯函数，调和函数，次调和函数，多重调和函数和多重次调和函数。要研究的两个特殊性质是值分布和普适性。我们希望不仅证明在所考虑的所有类中普遍函数的存在，而且证明它的普遍性。特别地，我们将研究Riemann zeta函数的普适性和值分布