Delta Function and Heaviside Function - IIST
If the delta function is acting at the origin, i.e., if a =0, the regularized delta function defined by (15) becomes δε(x)= 1 2ε 1+cos πx ε if −ε<x <ε, 0 otherwise. (17) Another example of regularized delta function is a sequence of bell-shaped pulses defined as δk(x−a)= 1 k √ 2π e− 1 2(x−a k) 2 (18) where k is a parameter.
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