徐利治.广义M?bius反演及其在积分方程与插值过程上的应用(英文)——纪念华罗庚教授[J].数学研究及应用,1987,7(2):335~350 |
广义M?bius反演及其在积分方程与插值过程上的应用(英文)——纪念华罗庚教授 |
Generalized M?bius Inversion with Applications to Integral Equations and Interpolation Process——In Memory of the late Professor Loo-Keng Hua(华罗庚) |
投稿时间:1986-07-21 |
DOI:10.3770/j.issn:1000-341X.1987.02.031 |
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英文摘要: |
The object of this expository paper is to establish a kind of generalized M?bius-Rota inversion formula by the aid of non-standard analysis. Certain constructive applications to Volterra type integral equations and to equidistant smooth interpolation process are expounded in some detail. Moreover, some of our earlier results (cf. [1] ,[2] ,[4]) are refined and improved. |
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