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Gap Formulae for the Weierstrass Transforms
Published online by Cambridge University Press: 20 November 2018
Extract
A gap formula for a transform
(1)
is an operator J on f(x)
(2)
Such operators are known for Laplace transform [1; p.91] and [4; pp. 296–299], Stieltjes transform [4; pp. 351–353], a class of convolution transforms [2] and others. Gap formulae for the Weierstrass transform
(3)
and the Weierstrass-Stieltjes transform
(4)
will be proved in the following two theorems.
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- Copyright © Canadian Mathematical Society 1968
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