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Interpolation of entire functions with infinitely many nodes

✍ Scribed by L. P. Lisovik

Publisher
Springer US
Year
1994
Tongue
English
Weight
380 KB
Volume
72
Category
Article
ISSN
1573-8795

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In this paper, we prove that given Β΅ > 0 there exists a dense linear manifold M of entire functions, such that, lim zβ†’βˆž z∈l exp z Β΅ f z = 0 for every f ∈ M and l straight line and with infinite growth index for all non-null functions of M. Moreover, every non-null function of M has exactly 2 2Β΅ + 1