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On Linear Functionals of Rational Type over H(ID)

✍ Scribed by Richard Fournier

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
290 KB
Volume
173
Category
Article
ISSN
0025-584X

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✦ Synopsis

Let H(ID) denote the set of analytic functions in the unit disk ID of the complex plane, endowed with the topology of uniform convergence on compact subsets of ID. Let A denote the space of continuous linear functionals over H(ID). In this paper we obtain a characterization of those i E A such that

where B is a fixed function in H ( Q . We also include a discussion of the sharpness of this characterization and an application to some extremal problem concerning A .

' ) This work was carried out while the author visited Universitat Wiirzburg (Germany). The author would like to thank ST. RUSCHEWEYH for interesting discussions. Support from an ACC (Quebec) grant is acknowledged.

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