Delta-convergent sequences that vanish at the support of the limit Dirac delta function

Eric A Galapon

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Delta-convergent sequences that vanish at the support of the limit Dirac delta function

机译：在极限Dirac delta函数的支持下消失的Delta收敛序列

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The known limit representations of the Dirac delta function involve delta sequences that do not vanish at the support of the limit Dirac delta function. However, Galapon (2009 Proc. R. Soc. A 465 71) assumes that a delta sequence may vanish at the support of the limit Dirac delta function for all finite values of the limit parameter. Here, such delta sequences are shown to exist by construction.

机译：狄拉克增量函数的已知极限表示涉及在极限狄拉克增量函数的支持下不会消失的增量序列。但是，Galappon（2009 Proc。R. Soc。A 465 71）假设，对于极限参数的所有有限值，在极限Dirac三角函数的支持下，增量序列可能会消失。在这里，这种δ序列显示为通过构造存在。

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《Journal of physics, A. Mathematical and theoretical》 |2009年第17期|共4页
作者
Eric A Galapon;
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1. Delta-convergent sequences that vanish at the support of the limit Dirac delta function [J] . Eric A Galapon Journal of physics, A. Mathematical and theoretical . 2009,第17期

机译：在极限Dirac delta函数的支持下消失的Delta收敛序列
2. On Dirac delta sequences and their generating functions [J] . Dang Q.A., Ehrhardt M. Applied mathematics letters . 2012,第12期

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3. Derivatives of the Dirac delta function by explicit construction of sequences [J] . Boykin TB. American journal of physics . 2003,第5期

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Delta-convergent sequences that vanish at the support of the limit Dirac delta function

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