| A REGULARIZATION OF THE POINTWISE SUMMATION OF SINGULAR STURM-LIOUVILLE EXPANSIONS |
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| 作者姓名： | Harvey Diamond Mark Kon Louise Raphael |
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| 作者单位： | Department of Mathematics West Virginia University Morgantown WV，Department of Mathematics Boston University Boston，MA，Department of Mathematics Howard University Washington，DC |
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| 基金项目： | 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 |
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| 摘 要： | Suppose that the information which we are given about anL~2[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 continuitypoints.Let us further suppose that the analyzer is imperfect,sothat the coefficients it gives deviate somewhat from the correctones.
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