International Journal of Functional Analysis, Operator Theory and Applications
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Abstract: Let f and g
be distributions and letandwhere 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.
