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Representation of Functions as Weierstrass- Transforms
Published online by Cambridge University Press: 20 November 2018
Extract
The Weierstrass - respectively Weierstrass - Stieltjes transform of a function F(t) or μ(t) is defined by
1.1
and
1.2
for all x for which these integrals converge. In what follows we shall always assume that F(t) is Lebesgue integrable in every finite interval and that μ(t) is a function of bounded variation.
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- Copyright © Canadian Mathematical Society 1967
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