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Polynomial approximations and universality

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Mouze A.

Studia Mathematica

2010

tom 196

nr 2

103-120

We give another version of the recently developed abstract theory of universal series to exhibit a necessary and sufficient condition of polynomial approximation type for the existence of universal elements. This certainly covers the case of simultaneous approximation with a sequence of continuous linear mappings. In the case of a sequence of unbounded operators the same condition ensures existence and density of universal elements. Several known results, stronger statements or new results can be deduced in a unified way.

Growth of coefficients of universal Dirichlet series

100%

Mouze A.

Annales Polonici Mathematici

2007

tom 91

nr 1

11-23

We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

2 Mouze A.

1 2010

1 2007

Wyniki wyszukiwania

Polynomial approximations and universality

Growth of coefficients of universal Dirichlet series