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The product of the distributions x −r and δ (r−1) (x)

B. Fisher

Source record

Source: Crossref

Published: Sep 1, 1972

DOI: 10.1017/s0305004100047010

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Source abstract

The product of two distributions f and g on the open interval (a, b), where −∞ ≤ a < b ∞, was defined in (1) as the limit of the sequence { f n · g n } provided this sequence is regular in (a, b), where for n = 1, 2, … and ρ is a fixed infinitely differentiable function having the following properties:

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The product of the distributions x −r and δ (r−1) (x) — Mathematical Frontier Network