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Fatou-Riesz-theorems in general sequence spaces
Published online by Cambridge University Press: 20 January 2009
Extract
Consider a formal series with partial sums and the corresponding power series . Throughout we will assume that f is analytic for |z| <1, i.e. that A classical theorem of Fatou-Riesz (see (1, 4)) states that if and
then is convergent to 0.
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- Copyright © Edinburgh Mathematical Society 1980