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International Journal of Functional Analysis, Operator Theory and Applications

Abstract:
Let f and g be distributions and let

and

where

is a certain sequence converging to the Dirac delta-function. The product

of f and g is defined to be the limit of the sequence

provided its limit h exists in the sense that

for all functions j in It is proved that

for and

Keywords and phrases: distribution, delta-function, product of distributions.

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