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On the Distributions δk and (δ')k

✍ Scribed by E. L. Koh; Li Chen Kuan


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
166 KB
Volume
157
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

Powers and products of distributions have not as yet been defined to hold true in general. In this paper, we choose a fixed δ‐sequence and use the concept of neutrix limit to give meaning to the distributions δ^k^ and (δ')^k^ for some k. These may be regarded as powers of Dirac delta functions.


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