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Note on an Application of the δ-Function in the Representation of Solutions of Algebraic Equations
Published online by Cambridge University Press: 20 November 2018
Extract
The “function” δ(x - xo) is known as the Dirac Delta function and may be defined as zero everywhere except at xo, where it is infinite in such a way that
1
having property that for every continuous function φ(x) on (a, b)
2
It is well known [2] δ(x-xo) can be approximated as a limit of a sequence of piecewise continuous functions, and there is an abundance of such sequences.
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- Copyright © Canadian Mathematical Society 1967