| Autor: |
Lyubarskii, Yurii I., Seip, Kristian |
| Předmět: |
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| Zdroj: |
Bulletin of the London Mathematical Society; 1997, Vol. 29 Issue 1, p49-52, 4p |
| Abstrakt: |
Suppose that K is a linear space of functions analytic in some domain D in the complex plane. A sequence Λ = (λk) of distinct points from D is said to be a set of uniqueness for K if f∈K and f(λk) = 0 for all k imply f≡0. Depending on the dispersion and the density of Λ on the one hand, and the growth of the functions in K on the other, one may often require only f(λk) ≤ ak for some sequence of positive numbers ak, and still conclude that f≡0 for f∈K. Of particular interest are sharp conditions on the decay of ak, which reflect the interplay between growth and decay of analytic functions. 1991 Mathematics Subject Classification 30A99, 31A05. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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