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Interpolation of infinite sequences by entire functions

✍ Scribed by Jean-Antoine Désidéri


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
246 KB
Volume
58
Category
Article
ISSN
0168-9274

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Special entire functions of completely regular growth with additional properties are utilized to interpolate entire functions with certain bounds, and to give an example of a weighted inductive limit of Banach spaces of entire functions such that its topology cannot be described by the canonical wei

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We characterize the interpolating sequences for the Bernstein space of entire functions of exponential type, in terms of a Beurling-type density condition and a Carleson-type separation condition. Our work extends a description previously given by Beurling in the case that the interpolating sequence