A REGULARIZATION OF THE POINTWISE SUMMATION OF SINGULAR STURM-LIOUVILLE EXPANSIONS

作     者：Harvey Diamond Mark Kon Louise Raphael 

作者机构：Department of Mathematics West Virginia University Morgantown WV Department of Mathematics Boston University Boston MA Department of Mathematics Howard University Washington DC 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用(英文版))

年 卷 期：1985年第5期

页      面：61-69页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Partially supported by the U.S.National Science Foundation under grant MCS-800 3407 Partially supported by the United States Arms Research Office grant DAAG 29-84-G0004 

主　　题：show A REGULARIZATION OF THE POINTWISE SUMMATION OF SINGULAR STURM-LIOUVILLE EXPANSIONS 

摘      要：Suppose that the information which we are given about anL2[0,∞)function comes from a“harmonic analyzer,which givesonly the coefficients of the expansion of f in eigenfunctions ofa Sturm-Liouville problem on[0,∞).It is well known that suchan expansion may not sum to the value of f,even at its *** us further suppose that the analyzer is imperfect,sothat the coefficients it gives deviate somewhat from the correctones.