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Results on compositions involving Dirac-delta function

Results on compositions involving Dirac-delta function

The distributional composition δ(r)(x+λ) for λ = 0, in other words, the composition δ(r)(H(x)) is defined as the neutrix limit of the regular sequence { δn(r)(x+λ) } and the expressions [ δ(r)(x) ]−k and [ δ+(r)(x) ]−k are defined as a double neutrix limit of the regular sequences [ δm(r)(x) …